{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Decision trees for regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "from sklearn.tree import DecisionTreeRegressor\n",
    "import utils\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "features = [[10],[20],[30],[40],[50],[60],[70],[80]]\n",
    "labels = [7,5,7,1,2,1,5,4]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(features, labels)\n",
    "plt.xlabel(\"Age\")\n",
    "plt.ylabel(\"Days per week\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "DecisionTreeRegressor(ccp_alpha=0.0, criterion='mse', max_depth=2,\n",
       "                      max_features=None, max_leaf_nodes=None,\n",
       "                      min_impurity_decrease=0.0, min_impurity_split=None,\n",
       "                      min_samples_leaf=1, min_samples_split=2,\n",
       "                      min_weight_fraction_leaf=0.0, presort='deprecated',\n",
       "                      random_state=None, splitter='best')"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dt_regressor = DecisionTreeRegressor(max_depth=2)\n",
    "dt_regressor.fit(features, labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/luisserrano/anaconda3/lib/python3.7/site-packages/sklearn/externals/six.py:31: FutureWarning: The module is deprecated in version 0.21 and will be removed in version 0.23 since we've dropped support for Python 2.7. Please rely on the official version of six (https://pypi.org/project/six/).\n",
      "  \"(https://pypi.org/project/six/).\", FutureWarning)\n"
     ]
    },
    {
     "data": {
      "image/png": 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/f8SWnX6EEPmPJEtC5DNB4ZF4DOzE+L5tAejUzI2O4xZwxvseVzbNVs+WDJm5gs2HzvLoeRBO9rZsP3KOFu6fsez7geq2ShQuxITFm3j47JX6vqnLdhDwMpQTK6ZSvbwzAJO+7kCHcQvw+G07PVrWTXddT1hkNCv3HMs0/i8b1qBciSLplvkHBhEVG0+FTmOIS0hUX69SpjgrpwxJc+jvP+nr6bJgTO8010Miolix5yj6erq0dP8s2/0IIfIfSZaEyGd0dXQY1eML9feufx9NUr9a+VSPlepVKcfmQ2e59+Q5hQvaAHDG+y4+D55SuXQxAAZ3bEbfNg0wNNAHICIqlh1eF6hWrqQ6UQIw0NfjqzYNOXXtDvtOXaFvm4Zp4gqNiGbm6j2Zxu/iZJ9hsvToeRAxcQlMHdSJNg2qERoRzeZDZ9lw4BRdJ/7E+XXTMTEyzLSPdw6fv8Gw2asIfR3N3JE9qeDslCP9CCHyNkmWhMhnHGytMND//7/aRgYG6uv/pKP79nFSYlIyJkYGfNevPdNW7qJu/ymUKV6Y+lXK0cKtMk1quaofPfkFvESlUhETn0Bfj6Wp2ouOjQfg0fPgdOMqXcyB4GOrMo3/n7H/27JJgzDU16N8SUcAnB3tqeVaCgszYxZvOcjeU1fp3qJOpn08fh7Mt0s2c+icNyUd7Vg9dSiNqlfQeD9CiPxBkiUh8hkT4/RnPHQU799McnzftnRqWpvNh87w1wUfVu89zsrfj+HiZM/hpZOws7EkPCoGAEN9PfT1dFPdb2NpRtfm7pQr4Zhu+wqFAmNDgyyM6P9VKVM83est3CqzeMtB7jwKzLSNbUfOM3rBOhQKmDGsG0M6N8fwXwmaJvoRQuQfkiwJIUhMSib+TSJFHWyZPKAjkwd0JCg8kvnr97F8txfLdnkxdVAnihcuCLydaVnlMSRVGylKJTFxCRkmREHhkcxd+0emsfRu3SDdZCUwOJxrd/ypWq4kTnYFUpU9eRECQEFri/e2ffj8DQbNWE7Nii6s/WFYmnY01Y8QIn+RZEkIwanrd+gwdgErpwyhWwt3AOxsLBnV4wuW7/bidXQsACWL2GFrZc7Ry7dISk5JNbvkuXE/01fu5q9fJ+NWqXSaPiKj41h/4FSmsdStUjbdZCkiKoZek3+mX9tGLJnQL1XZ7mMXAahTqcx72/5h+U4sTI3ZNOMb7AtYpVtHE/0IIfIXSZaEELi5lqagtQVz1v5BkULWVC5VDP/nwcxfvxeAln/vn2Sgr8ePQ7owfM5qBkxbxpherbAwMebA2evMW7eXxjUqUtu1VLp9lC7mQNiJNVmOsaKzEzUrurBu/0lsLM1o26A6KqWKbX+d49jl23zZsEaqbQHW7jvBmAXrmdivHRP7teN1dCx3HgVSuVQxft56KN0+6lV9u07rY/oRQuR/kiwJITAzMWL11KEMnrGCL76Zrb5uZKDP1EGdaPH3K/UAfVo3IC4hkSm/bmPP8UsA6Onq0rdNA6YO6owik7VRWaVQKNg2ezTD56zGc+N+PDfuV5cNaN+EWSO6p6qvUr19NKhSqQC4eMsPlUrFjQdPuPHgSYZ9tHT/7KP6EULkfwrVu58kQgit6tKlC8mhT9kwfYTWYohLSMTXP4BnQWEUsDSnfEnHDNfnxMQl4PPgKTHxCVRwdsKxkM0nizPgVSh+Aa+wMjOhTPHCaXYYz+39mNftw/bt2+nSpYtG2hNC5KidMrMkhFAzMTKgRgUXalRwybSumYkRdT7Tztqdova2FLW3zTf9CCFyN9m3XwghhBDiPSRZEkIIIYR4D0mWhBBCCCHeQ5IlIcQndeSCD7uOXtR2GFmWnJJC/JvEzCsKIfINWeAthPikftr8J49fBNOpaW1th/JRjl2+zdRl27nzKJDkFCVO9gUY2e1zBrZvio5OzmyXIITIHSRZEkKITJy85kv7sfOxNDOh1xf10dfT5Y+TVxi3aCOhr6OZ9HUHbYcohMhBkiwJIUQm5q7di0ql4vSqHylRpBAAPw7pQun2o1iy9RAT+7VDV0dWNQiRX0myJEQelpCYhOfG/Ww7cp4XIeE42hWgQdXyzBrRPdUGime87/L78cscv+JLQmIibpVKU/ezsnzVtqH6H/kRc9eQlJTMt199ieemAxy7fAtnRzt6t2pAtxbu/LztMDv+Ok9gcBhVypRg/pheODvaq/vo67EUVxcn6lUpx687/+LUtTsUtLagx+d1GNW91XsfVUXGxPHD8p2cu3GPsMgYalV0oW+bhrT4+5iVjx2vpgUGh1OkkI06UYK3+0xVL1eScz73eZOYhImRYY71L4TQLkmWhMjDxniuZ+uhs3RrWYfKpYrx+EUw6/adxPfRM44t8wDg9PW7tB09FwszY7o0c6eApRnHr9xm9IJ1PH4RzIxh3QC45feU58HhnLjqi6WZCfWrlGP38Uuc8b7HTq/zHL/iS3O3yjjZF+DIBR/ajJrL7Z0L1UnQyWu+eN9/zKItB6lfpRz9vmzE8cu38PhtBw+fBbF04tfpjuF5cDjNh88gNCKaHp/XxcLUmGOXb9Hl24XMGtGD4V1afNR4c0Lb+tVYsu0QRy74qBM4v4CXnL5+l0Y1KkiiJEQ+J8mSEHnUm6Rkth85Rwv3z1j2/UD19RKFCzFh8SYePnuFi5M9O49eQE9Xh1s7PLE0MwFgTK/WuHYey6Fz3upkCSAoPBKPgZ0Y37ctAJ2audFx3ALOeN/jyqbZuDi9nUkaMnMFmw+d5dHzIPU1gMfPg5n9TQ9GdG0JwJQBHWkzeg4b/zzNgPZNqFKmeJpxTF22g4CXoZxYMZXq5Z0BmPR1BzqMW4DHb9vp0bIu1hamHzzefwuLjGblnmOZ/nl+2bAG5UoUSbdscKdmnLzmS+cJC6lV0QUjAwNOe9/BwdYaj0GdM21bCJG3SbIkRB6VkqIE3j5i83nwlMqliwEwuGMz+rZpgKGBPgDfdP2cIR2bqRMlgKSkZCzNTYiKiU/Vpq6ODqN6fKH+3tXFCYD61cqnSkTqVSnH5kNnuffkearrlmYmqWaCdHQUjOvTltPX73L88q00yVJEVCw7vC5QrVxJdaIEYKCvx1dtGnLq2h32nbpC3zYNP3i8/xYaEc3M1Xve90cJgIuTfYbJkpWZCU72ttz0C+D6vcfo6eqiVKrQ1dUhJi4+3XuEEPmHJEtC5FEmRgZ8168901buom7/KZQpXpj6VcrRwq0yTWq5qtcilS7mQHhkDEu2HeLy7YcEvAzhYWAQ0bHxONhap2rTwdYKA/3//7FgZGCgvv5POrpv205MSk513cXJHoUi9dqkdwnIo+fBacbgF/ASlUpFTHwCfT2WpiqLjo1Pdd+HjvffShdzIPjYqnTL/umf4/635sNn4uv/jEVj+9KpaW0MDfTxuniTEXNX02m8J1c2zqGog5whJ0R+Ja9vCJGHje/blpvbF/DtV19iYmjA6r3H6TRhITV6fUdQeCQAi7ccpEz7Ucxdt5ek5BQaVq/I8kmDqO1aKk17Jsbpr73RUXzYPkJ2BazSXDP9ez2PUTozP+FRMQAY6uuhr6eb6svG0oyuzd0pV8Lxo8b7bwqFAmNDg0y/Mkq27j95ga//M+pVKceA9k2wMjfF2NCAtg2q0+uLesQlJLL31NUP+vMRQuRNMrMkRB6VmJRM/JtEijrYMnlARyYP6EhQeCTz1+9j+W4vlu3yYniXFngs246tlQU+2+anemNs/vq9Go/pUWBQmmtPX4UCUKqoQ5qy4oULAuDsaM8qjyGpylKUSmLiEjA2fDu79SHjnTqoU5o+gsIjmbv2j0xj7926Qbprqm77PwOgbpWyacoa1ajIz9sO8zo6NtP2hRB5l8wsCZFHnbp+B8eWQ9jp9f9Hh9jZWKrXHL2OjiXgVShKpYq2DaqnSpQCg8O56Reg8ZgePnuFf+CrVNc2/XkagEqliqapX7KIHbZW5hy9fIuk5JRUZZ4b9+PYcgjX7j4CPmy86YmMjmP9gVOZfj1+njbRAyhbvDAAf5y4nKZsz/G31yo4O6YpE0LkHzKzJEQe5eZamoLWFsxZ+wdFCllTuVQx/J8Hq2eMWrpVpnRRB0yNjdh97CLNa1eidDEHLt70Y/qq3ZibGhMTn4BfwMt0Z32yIkWppNvExXgM6oSLkz37Tl3lt11/0aFxLdwrl0lT30Bfjx+HdGH4nNUMmLaMMb1aYWFizIGz15m3bi+Na1RUPy78kPGmp3QxB8JOrMnymMqVcKRJzYocu3yb9mPn07V5HYo52LL/9FV2eV2gXIkitK5XLcvtCyFyP0mWhMijzEyMWD11KINnrOCLb2arrxsZ6DN1UCdauH8GwG/fD2DorFV0+XYRANYWpswZ2RNTI0MGzVhBzd7fE3FqrUZialitPIULWtNr8hKUShXw9s25RWP7ZnhPn9YNiEtIZMqv29hz/BIAerq69G3TgKmDOqsXjH/oeDVNR0fB2h+GM27RBnYevcjRS7fUZXU+K8Nv3w187+JwIUTep1CpVCptByGEgC5dupAc+pQN00d81H1xCYn4+gfwLCiMApbmlC/pSEFri1R1wiNj8PF7in0BK8oWL6xOQMIjY3gdHUtJR7tsx1+s1TCqlS3JHs9xvI6O5fq9xxQuaE3Z4um/jv9vMXEJ+Dx4Skx8AhWcnXAsZJNuvQ8Zb055HhzO3cfPSUhMpHTRwpQqmvbtvw9hXrcP27dvp0uXLjkQpRBCw3bKr0NC5HEmRgbUqOBCjQouGdaxsTSjUfUK6V63sTTTeExW5qY0rlHxo+4xMzGizmdpH9X924eMN6cUKWRDkQySOCFE/iULvIUQQggh3kOSJSGERtgXsKKAleZnqYQQQtvkMZwQIkNHLvgQHRtPp6a1M617acOsTxBR1sXEJZCYlJylx45KpUp9YLAQ4r9HkiUhRIZ+2vwnj18Ef1CylJuFR8ZQu+8kLMyMubppzgfd8/DZK1bsOcqfZ64TGRNH7UqlGdG1BQ2rpV37JYTI3+QxnBAi3xs2ZxUvQyM+uH78m0S6fLuIDQdO06SmKwPaN8H/2Su6TFjEuRv3czBSIURuJDNLQoh8bdXvxzh68SbWFqYffM+0FbvwC3jJ7gXjaF67EgDDOjfH7avJDJ65gts7PXMqXCFELiQzS0LkE+MWbaT5sBm8CnudpuybeWv4csw8EpOS1dfOeN/lf57r+azbBMp2GE2/H35l9R/HSVEqM+xj0PTlDJi2LM31hZsO0HzYDJJTUh9ZEhkTxxjP9dTs/R3Obb+hx/eLOXLBJxuj/Dh3Hz/n+1+2Mm1YV+zTOeQ3I5sOnqGis5M6UQIoZGNJ05quPH0ZwtU7/jkRrhAil5JkSYh8oqRjIS7cfMC+U1dTXX8ZGsGGA6ewtjBV7zR9+vpd2oyay65jF2lay5W+rRsQGBTG6AXrmLpsR4Z9eN9/gvf9x2muP3z2igs3H6h37Ya3Gzi695vMlkNnqfNZWXp9UY+AV6F0+XYhS3cc0dCoM5aQmES/H37FvXJphnZq/sH3hUVG8zo6lkY10q5NcnGyB+D6vbR/BkKI/EsewwmRT3Rp5s6kX7bxx4krDOrQVH19z/HLKJUqen1RX31t59EL6OnqcGuHJ5ZmJgCM6dUa185jOXTOmxnDumU7nqnLdhDwMpQTK6ZSvbwzAJO+7kCHcQvw+G07PVrWTffRWFhkNCv3HMu0/S8b1qBciYx3B5+8dBsvQyP4Y+H4j9pl2y/g7UHAdunMRL07Qy8kIuqD2xNC5H2SLAmRT9hamdOsdiX+uuBDSESU+giQXUcvUrigdaodtb/p+jlDOjZTJ0oASUnJWJqbEBUTn+1YIqJi2eF1gWrlSqoTJXh7cO5XbRpy6tod9p26Qt82DdPcGxoRzczVezLtw8XJPsNk6fD5Gyzf7cWWWaM+6vEbgH9gEAA2Fmm3GHCyLwC8fbwohPjvkGRJiFxCoVCgIntHNfb8vC6Hznmz//Q1+n/ZiICXoVy948/Y3m1S7RNUupgD4Zi/STYAACAASURBVJExLNl2iMu3HxLwMoSHgUFEx8bjYGud3aHgF/ASlUpFTHwCfT2WpiqLjn2bjD16HpzuvaWLORB8bFWmfWR0eO2rsNcMmbmSvm0a0qZ+tY+MHAz/bjc8KiZNWVzCG+DtcS5Z9e44zqycKSeE0A5JloTIJczMzAh8lpStNlrWqYKVuSl/nLhM/y8bsfv4RQB6fVEvVb3FWw4yY9VuDAz0qftZWRpWr8j4vl+yZOtBnr4M/eh+I6JiU33/LtEw1NdDX083VZmNpRldm7tTroRjum0pFAqMDQ0+OoZ3Vv1+jLDIaKJi4hgya6X6+ouQCFTAkFkrKeVkz9jebdK9366AJQBPXoSkKXs3Tlsr8yzHFxOXAICFxac5/FcIkX2SLAmRS9jb23PxVHi22jDU16Njk1qs33+K8MgYdh29SC3XUuqFyQChr6PxWLYdWysLfLbNx8zESF02f/3e97avUIAyJe3sl9+zl6m+L164IADOjvas8hiSqixFqSQmLiHDhCgoPJK5a/94/0CB3q0bUKVM8TTXba0sqFSqKP6Br1JdT0xKRqlUcsvvKTrvmdVxcbJHoVDw5EXama9bDwMAUj1a/FgvQt7u92Rvb59JTSFEbiHJkhC5RKVKlZg/7wVxCYmYGGV9ZqXn53VZ/cdxFm4+wE2/AH75tn+q8oBXoSiVKto2qJ4qUQoMDuemXwCFbCwzbLuoQ0FOXLlNUnKKesbo7uPnPPp7nc87JYvYYWtlztHLt1LVBfDcuJ/pK3fz16+TcatUOk0fkdFxrD9wKtNx1q1SNt1kaUinZgzp1CzN9Xr9PYhPTOTc2hnvbdfB1po6lctw7sZ9Hj8PpkSRQgAkJaeww+sChQtap9vvh7rx4An6+nqULVs2y20IIT4tSZaEyCUaNGhAilLJyau3+aJu1Sy3U6OCCy5O9vyy7TAmRgZ0aFwrVXnpog6YGhux+9hFmteuROliDly86cf0VbsxNzUmJj4Bv4CX6je/UrVd3pkj528wZOYKvmrbkEeBQSzc/CcWpiaERUar6xno6/HjkC4Mn7OaAdOWMaZXKyxMjDlw9jrz1u2lcY2K1HYtlW78pYs5EHZiTZbH/7HW7jvBmAXrmdivHRP7tQNgXJ+2dBrvSZ8pvzC+b1uszE1ZtPkAT14Es3Pe2GytNzp66Rbubm4YGhpqaghCiBwmyZIQuYS9vT1utWux7a8L2UqWALq3rMP0lbtp26A65qbGqcrMTIz47fsBDJ21ii7fLgLA2sKUOSN7YmpkyKAZK6jZ+3siTq1N0+433T7n8m0/dnhdUM+ydGtRB3i7MeU/9WndgLiERKb8uo09xy8BoKerS982DZg6qHOuWeCsUr19NPhu4TVAk5oVWTllMMPnrKbnpCUAWJqZMPubHqk2qvxYMXEJ/HnWmxmzZmc7biHEp6NQ/fMnhBBCqzZt2kT/fv24smkWzo45u6YlPDIGH7+n2BewomzxwurkJTwyhtfRsZR0tMvw3tDX0bwIicDVxSnTpCcmLgGfB0+JiU+ggrMTjoVsNDqOnJSckoL3vccolSqqV3BGVyd7+/gu3nKQWWv3Evj8OdbW2X/rUAjxSeyUZEmIXCQlJYVqVatQ2FyPHXPHaDscoUHB4ZFU6TGRMWPH8cMPP2g7HCHEh9spx50IkYvo6ury0+IlHDrn/UnPUBM5b+rynVhZWzNhwgRthyKE+EiSLAmRyzRs2JDu3boxdPZqArKw55HIfTYfOsvmg2dY9NNiTExMMr9BCJGrSLIkRC60avVqipd0psOEhXK0Rh534eYDRs1fy3fffUeHDh20HY4QIgtkzZIQudSzZ8+oVbMGxe2s2TZrJDaWac8qE7nbeZ/7dPt+CY2bNGPHzp3oZHOBuBBCK2TNkhC5lZOTE15Hj/HydRyNh0znwdOXmd8kco3Nh87SZvQ8GjdpxsZNmyRREiIPk7+9QuRiFSpU4NLlKxQqUpTGQ6azfLcXySkp2g5LvEdweCRDZ69i6KyVjB03jp27dmFsbJz5jUKIXEsewwmRByQkJPDjjz+yaNFCnB3tmTakM81qVUJHJ3ds7Cje7ie1+o/jzNuwDytrG35avIT27dtrOywhRPbJPktC5CUPHz5k7P/+x779+ynpaE/bBtWoX7Uc5Us4UsDKHCMDfW2H+J8RHRvP85BwfB485eilW/x51psUpYrxEyYwYcIEeetNiPxDkiUh8iJfX1/Wrl3L/n17eeD3UNvh/Kfp6elRt4477Tt0pHfv3rIztxD5jyRLQuR14eHh3Llzh4iICBISEjTW7v379/Hw8GDatGmUKVNGY+1+aq9evWLUqFGMHj0aNzc3jbVrbm6OnZ0d5cuXl0NxhcjfJFkSQqSlVCqpXbs25ubmHDt2TNvhZFvfvn05ceIE9+7dk8djQoiPJVsHCCHS2rBhA9evX+enn37SdigaMW/ePCIjI1mwYIG2QxFC5EGSLAkhUomLi8PDw4NBgwbh6uqq7XA0ws7Oju+++445c+bw9OlTbYcjhMhj5DGcECIVDw8PfvrpJ/z8/LCzs9N2OBqTmJhIxYoVqVatGlu3btV2OEKIvEMewwkh/l9gYCCenp54eHjkq0QJwMDAgPnz57Nt2zZOnz6t7XCEEHmIzCwJoQFeXl4EBAR8UN2OHTtiZWWVwxFlTY8ePbh06RJ37tzJt294tWzZkuDgYK5cuYKuru576967d49z5869t46pqSndunX7qBgOHjxIVFTUR98nhNAKeRtOCE1o27Yt+/fv/6C6vr6+lC9fPocj+ngXL17E3d2dPXv20K5dO22Hk2Pu3r1L5cqVWbp0KQMHDnxv3eXLlzNkyJD31nFycvrgRPmdhg0b4u/vz7Nnzz7qPiGEVuzU03YEQuQHCxcuxMPDQ/39gwcP6NmzJ82bN2fmzJmp6pYsWfJTh5cplUrFqFGjaNiwYb5OlADKlSvH0KFDmTx5Mp07d/6gWb4xY8bQtm3bdMuMjIw0HaIQIpeRZEkIDXBxcUn1vb7+22NHbGxsqF69ujZC+iibNm3i6tWrXL58WduhfBI//PADW7ZsYfr06Xh6emZav3Tp0jRs2DDnAxNC5EqywFsILRg5ciRff/01gYGBDB8+nIIFCwLQp08fevXqlab+nDlzqFevHsnJyamuv379mmHDhlGxYkXs7e3p0KEDBw8e/KhY4uPjmTx5MgMGDKBatWpZH1QeYm1tzbRp01iyZAm+vr4aa/fkyZMMHz6c0qVL4+TkRPfu3Vm2bBkpKSnvvS8hIYGpU6fi7OyMoaEhpUqVYvDgwURHR6eqp4nPWwjx8WRmSQgtuHnzJq9evaJVq1bcvHmTqlWrAnDt2jWUSmWa+n5+fpw9ezZVWWBgIPXq1SMkJIQ+ffpgaWnJkSNHaNOmDZ6enowePfqDYpk7dy4RERH8+OOPmhlcHjFo0CCWL1/O6NGj8fLyynZ7J06coFmzZlhaWtKjRw9sbW3x8vJi6NChPHr0iHnz5mV477Bhw9iwYQO9e/emSpUq+Pv7s3LlSm7dusX58+cBzX3eQogsUAkhNO7GjRsqQNWtW7d0yxs0aKACVC1atFDdvXtXfb18+fKqsmXLpqnfv39/FaB68+aN+lrPnj1VgOrixYvqa2/evFE1btxYZWBgoAoLC8s0zsDAQJWpqalq7ty5HzO8fOPMmTMqhUKhOnDgQLrly5YtUwGqypUrq9q1a5fmq1OnTuq6AwcOVBkaGqoiIiLU1+Lj41UODg5pPtMGDRqoHB0dVSqVSpWQkKDS19dXtW3bNlWdxYsXqwDV/fv3VSqVZj5vIUSW7JDHcEJo0fTp0ylbtuxH3xceHs6WLVuoUaMGtWrVUl83MDBg4MCBJCYmsmfPnkzb+fbbb7Gzs2PUqFEfHUN+ULduXTp27MioUaN48+ZNhvUePXrE+fPn03xduHBBXed///sfV65cSbVgPDExESsrK6KiojJs+90jupMnT+Lt7a2+PmLECGJiYnB2dtbY5y2EyBp5DCeElhQsWJAaNWpk6d779++jUqmIiYmha9euqcre/cPs7+//3jYuXbrEli1b2LVrV77dU+lDLFy4kLJly/Lzzz8zbty4dOvMmzcv0y0EypYtS1hYGJ6enly4cIEnT57g5+dHVFQUhQsXzvA+ExMTpk6dyuTJk6latSrlypWjUaNGfPHFF7Ro0QJdXV2NfN5CiKyTmSUhtORjEpTw8PBU34eFhanb0NfXT/VVoEABevbsSYUKFTJsT6VSMW7cONzd3Wnfvn3WBpBPODk5MXbsWKZNm8bLly+z3M78+fNxdHRk+vTpJCUl0bRpU9atW0edOnUyvXfSpEk8fPiQKVOmYGJiwrJly2jdujUVKlTg1atX2f68hRDZIzNLQuQiCoUi3QXe9+/fT/X9u72aSpUqxaZNm1KVpaSkEB0djYmJSYb9bN26lfPnz3Pp0iUUCoUGIs/bvvvuOzZs2MDkyZNZvXr1R98fEhLCxIkTKViwIH5+fpibm6vL/r3P1r8lJiYSFxdH8eLFmTZtGtOmTePVq1fMnDmTX375hZ9//pmePXsCWf+8hRDZIzNLQuQixYsX58mTJyQlJamv+fr68vDhw1T1XFxcKFiwIEeOHElVF2D27NlYW1tnuGdSfHw833//Pf369csTe0B9CsbGxsyePZt169Zlaa+pp0+folQq6dChQ6pE6dmzZ9y4ceO99x4/fhxra+tUh/va29szfvx4ACIiIrL1eQshsk+SJSFykVq1apGYmMhXX33FyZMnWbVqFe3atcPS0jJVPQMDA2bPnk1UVBS9evXi+vXrPHz4EE9PT2bMmEGzZs0yfPwzf/58wsLCmD59+qcYUp7RvXt36taty+jRo1F95ClQZcqUwczMjO3bt7N//378/PxYt24d7u7uWFhYEBMTk2Z28J06depQqFAhpk2bxsmTJ4mMjOTatWvqrQBatWqVrc9bCKEB2n0bT4j86UO2Dnj36vg/xcbGqj7//HMVoAJURYoUUU2cOFE1ceLENFsHqFQq1ZIlS1RGRkbq+np6eqohQ4Zk+Br5u60CZs2alf1B5kPXr19X6erqqjZt2qRSqf5/64Dffvst03t37NihMjMzU38WNjY2qvXr16t27dqlMjU1Venp6anr/vvz9/LyUhUuXFh9L6AyMjJSzZw5M1UfH/t5CyE0YoccpCtELhQSEsLz58+pXLlypmuKoqOj8fb2JiYmBldXV5ycnDKs27dvX86cOcOdO3fkTLMMDBw4kEOHDnHv3j3MzMw+6t6wsDC8vb1xcHCgfPny6s8uLCxM/TgtI3Fxcdy8eZOAgABsbW2pWLEihQoVSlPvYz5vIYRG7JRkSYj/iOvXr1OjRg22bdtG586dtR1OrhUcHEyZMmUYMWKEPKoUQoAkS0L8d9SvX5+UlBTOnj0rb8BlwtPTk0mTJnH79u33zgYJIf4TJFkS4r9g27Zt9OzZk4sXL2Z5I8z/kqSkJFxdXalYsSK7du3SdjhCCO2SZEmI/C4hIUG9K/SaNWu0HU6e4eXlRfPmzTly5AjNmzfXdjhCCO2RZEmI/G7mzJnMmTOH+/fvv/fYDZFWq1atePLkCT4+PujpyR6+QvxH7ZR9loTIx4KCgpg3bx7ffvutJEpZsHjxYvz9/VmxYoW2QxFCaJHMLAmRj/Xv3x8vLy/u378vx2Fk0bhx41izZg1+fn4UKFBA2+EIIT49mVkSIr/y9vZm/fr1zJ8/XxKlbJg6dSpGRkb88MMP2g5FCKElMrMkRD7VoEEDkpKSOHfunGwVkE2rV69m8ODBeHt74+rqqu1whBCflizwFiI/2rlzJ127duXixYvUrFlT2+HkeUqlktq1a2Nubs6xY8e0HY4Q4tOSZEmI/CYxMZEKFSrg7u7O+vXrtR1OvnHhwgXq1KnD7t27ad++vbbDEUJ8OrJmSYi8KigoiBcvXqS57unpyfPnz+WoDg1zc3Oje/fujBs3joSEhFRlKpWKW7duaSkyIUROk2RJiDzKy8uLUqVKMXPmTOLj44G355rNmTOHiRMnUrRoUS1HmP/MmzePoKAgFi5cqL52/fp13N3d6dq1qxYjE0LkJHkMJ0QeNX78eBYuXIhCocDOzg5PT0+OHj3KkSNHuHfvHqamptoOMV+aPn06c+bM4ezZsyxdupQ1a9agUChQKBRER0djbGys7RCFEJola5aEyKsaNWrEyZMnAdDR0UGlUmFsbMz48ePlNfccFBUVRenSpYmMjCQlJYWkpCR12eXLl+XsPSHyH1mzJERe5ePjo/5vpVKJSqUiMTGRadOm0alTJ54+farF6PKno0ePUqNGDUJCQkhISEiVKOnq6uLt7a3F6IQQOUWSJSHyoFevXhEREZHmenJyMiqVin379lGmTBmmTZtGXFycFiLMXx48eMDnn39Os2bN8Pf3R6lUpqmjo6MjyZIQ+ZQkS0LkQf+cVUpPUlISiYmJLF26FD8/v08UVf41bdo0Dh8+DEBKSkq6dZKSkrh06dKnDEsI8YlIsiREHuTj44OBgUGG5fr6+ri4uHD58mUqV678CSPLnzZu3IiHh0em9Xx9fUlOTv4EEQkhPiVJloTIg27cuJHhDIeenh5ubm5cvnyZYsWKfeLI8ieFQsGPP/7ImjVr0NPTQ1dXN916iYmJPHjw4BNHJ4TIaZIsCZEHXb16Nd1kSUdHh27duuHl5YWVlZUWIsvf+vXrx5EjRzA2NkZfXz9NuaxbEiJ/kmRJiDzmzZs3PHr0KN2yESNGsGHDhvc+ohPZ07hxY7y9vSlSpEiahElPT0+SJSHyIUmWhMhjfH19U80q6ejooKury/Lly1m8eDEKhUKL0f03uLi4cPXqVapXr46enp76emJiIlevXtViZEKInCDJkhB5jI+Pj3rNjJ6eHkZGRuzfv59BgwZpObL/lgIFCnDixAk6deqUKkG9fv06stevEPmLJEtC5DE3b94E3iZKtra2XLp0ic8//1zLUf03GRoasmXLFiZOnKhOmKKjowkICNByZEIITZJkSYg85t3i7ndbA1SsWFHbIf2nKRQKZs2axerVq9WP5G7cuKHlqIQQmiRnw4lP7tKlSxw4cIAL585yx9eXiMhIEt4kajsskQFzUxMKFSrIZ1Wq0bhJE9q2bYujo6O2w8qSwMBA9u3bx/Hjx/G5cYOg4CCio2O0HdZ/hpGREdZWVlSoUIHabm60bt2aWrVqaTssITIjB+mKT0OlUrF582Zmz5rBnbv3KVbQAveS1pR1sMDG1AAjfZnk/BDhsYnsv/GCXm7F0NX5NAu5oxOSeRkZz63nUZz1CyP+TRKtW7di2vQZVKpU6ZPEkF03b97Ew2MKBw78iYmxEQ3r1KJKxXIUti+EhZmZRvsKCgnl2JkL9OjQRqPt5gcJb94QFh6B7/2HnLxwhScBgVQoX56J331Hz5495eUEkVtJsiRy3rVr1xg5YjiXLl+hUw0nvq5bgkpOsgdQViQmKzHQ015imZSi5PCtl/x28jE+AeEMHjKE6dOnY2Njo7WY3ic8PJwpU6awfPlyqrpWYMzgvrRp0QiDdPZI0qQ3iYkYyvYNmbp+6w6/rd3K5j37qVWrJkuW/Ey1atW0HZYQ/ybJkshZc+bMYdKk76nlXJDp7SpQsYiltkMSGqBSwc4rAcw8eB/0jfl97z7c3Ny0HVYqFy5coH37dugA078dSa9ObWXmIpfy8b3H2B/mcu7ydWbOnMnEiRO1HZIQ/yTJksgZiYmJDB40iI0bN/Jjuwp8Xc8Z+Xcq/4lOSGb4puuc9gtlzdp1dO/eXdshAbB161b69+9Pk3q1WbdktsYftQnNU6lU/Lp2C+Onzad3794sX75cNlcVuYUkS0LzUlJSaNumNWdOnmB5n6o0Lmen7ZBEDkpRqpi+z5flp/xZvnw5AwcO1Go8K1euZPDgwYwc0JvZk8aiqyvr4fKSIyfO0mv4eOrWq8e+ffszPIdPiE9IkiWheSNHjmTVimX8Ptydz4paa7z913GJHLz5EoCO1Rwx1E/7w/RxaCwXHoZSwMyQFhXtNR5DXqFUqdD5RFN6Cw7fY/HRhxw6fJgmTZp8kj7/7dixY3z++ed8O2IAU/43LFtthb+OZO/hYwB0b98KI0PDNHX8nwRw+uJVChawpnWzRtnqT5NUKhWvo6KxtrTI8b6USiU6OppNSK/63KZZ5/58PWAAS5Ys0WjbQmTBTr3M6wjx4ZYtW8bSpb+wom+NHEmUAKxMDDh06yVevq94GByNR9vU+wwlK1UMWneZW4GRrPs6d76W7DbDC3cXWzy7VUl1XalS0XT+CZKVaX+HcbIxYfOgzNcF+YfEsPbMYw7ffkl0fBI1ShRgcENn6pUuqLH40zO2RVn8Q2Lp3LEDl69ew8XFJUf7+7eHDx/SuXMnOrRqxuQxQ7Pdno2VJfuOHOfg0VPcf/iYOZPHpipPTk6hx9Bx3Lh9l12rc8c/6BGRUXw/cyFbfz9AfMIbzM1MadGoLotnTMLW5u3fR6VSSc2WnUlOTnsQczGnwuxd/2um/fg9espv67ey/68TREVF41ajCqMG9KFRXc38fateuSKrF82g57DxlC9fniFDhmikXSGySuanhca8ePGC8WPHMqppaVpXLpyjfXl2/QwbUwOWnfDn6pPwVGVLvB5wKzCSbrWK0tLVIUfjyIrtlwN4HBqbbtnL1wnceRGFrkJBATPDVF/WJpmv30hISqHPyotsvfSURmUL0bdOCR6HxNB75UUu+odpeiipKBTwU7fPKGKhx4hh2U9WPtaIEcMpWtieFQumaWwh97J5P2BrY83ilRu4eM0nVdm8pau4cfsufbu0o01z7c8qJSYl8WWfoazdtodu7VqxbP6PdP3yc3btP0Knr0eq6z1/GcStuw/Q1dWhYAHrVF82Vpm/gBGf8IYO/UewfvvvNG/gzqA+XXn4+Cnt+w3nzKVrGhtPh1bN+XbEQMaPH8eLFy801q4QWSGP4YTG9OrZk7NeBzg9oUG6j8Y07YDPCwasvYxzITOOj2+Eob4u915G0WzBSewsjTgxoTHmRrlj8vTl63gWHL7HjWev8X0eCUDP2sXSzCyd9Quh09JzHBvfiApZeHNw6h+3WH7Sny2D3dRrxUKi39B43nGMDXS5PKV59geTiSuPw2m75Ax//PEHbdu2zfH+APbu3Uv79u3x2rmWerU0++r57we96Db4f5R2Ls6VI7swMjTE9/5Dan/eBXu7glzz2p0rFpCv3rKLYd/+yNwp4xg9qK/6+ojvprFy007O/7mNapUqcPLcJVp0G8CVI7uoVL7MR/czftp8lqzcwL4Nv9GiUV0AgkPDqNasIybGRtw/f1hjY3qTmEjVZh2o7V6PjRs3aqxdIT7STplZEhpx5coVtmzdytQ25T5JogTQunJhOlV3wj84hjkH75KsVDFyy3WSlUqW9Kj6yRKlkOg3rD37iBsBERnWiXmTjH9IDOZGeu99PPkoJBaFApwLZe0f322XAyhf2CLVovqC5oY0KluIgLA4rj/NOEZNqVHChvbVnBg7ZhQpKWkf9WhaSkoK48aOpeuXX2g8UQJo/0UzenRozQP/J0yd9zPJySkMGDOJpORkVi+c8ckSpeDQMJat38pVn9vplm/dc4CCtjYM69cj1fVvRwxkzU+zKPj3Yzi/xwEoFApKlSyepTg27vgD13Kl1YkSQCHbAjRvWIcnz55z2ftmltpNj6GBAbO+G8PmzZu5cuWKxtoV4mPljl+7RZ7385IluBa14YtKn/ax18yOlTj3MJTlJ/15GZnAzWevGdzQGXcX2xztNzw2kQM+L9jn/ZwL/qGkKFWs7l8zw0SolJ05f3xTD3i7+Nxthle69Z6ExlDE2oTYN8mceRBCSPQbStmZU7WYdaY7dofHJhIZl0T3msXSlJX8O/nyeRZB1WI5s5bsn8a3LIP7zKMcPHiQNm1ydifrP//8E/9Hj9i3LufWDS2a/j2nLlxhyaqNvHgVzPVbdxg5sA/13WrkWJ8AoeER/H7wKLsOHOHMxSukpCjZvmIR1SunPQ/Q73EALRvVw0Bfn8cBgfje96OwvR2VypWhZ8f//wz8nwTgVMSBmNg4Tpy9SFBoGGVdSlKzSqVM3xwMDY8gIjKKPl3apSkrVfLt/3fXb/pSs4rmdnb/smUTPqtYjl9++YX169drrF0hPoYkSyLbEhIS2LNnN1Nalf7kfVsa67O4R1W6/naOP64HUtrenO9blc+RviLjkvjz5gv23XjO2QchJCtVVChiyehmZWjpao+rY/Z3JX8cEkt0QhLVp/1FfOL/z8pUcrJiaa9qlLIzz/Deh8HRABSyMEpT5lLo7X2h0Z/mDL4Stqa4lyrE1i1bcjxZ2rp1Kw3ca+JcvGiO9WFlYc4qzxl80XMQO/YdolwpZ6Z/OzLzG7MgIjKKPw4dZdf+I5w8f4nk5BQqlS/DxG8G0aZ5Y6q4lktzT0xsHK+CQyhkW4D2/UZw8OgpdVkZlxKs9JxBrapvExj/JwFER8dQ2q05cfEJ6npVXcuzdslsyrqUzDC2B/5PAHCwS/uyQOm/Z6qCQ8PTlGVXv+4d+G7mQlasWIFhOm8lCpHTJFkS2XbmzBli4+JpUUE7r+gXL2CKkb4u8YkplCxoluljwEO3XrLX+zmPQ2KoUaIAI5qUwt4ybYLxTkj0G0Zvvc7p+yGoVCpqO9vyQ7uKtKzogKONiUbH8jg0ltiEZL5rVZ7PKzkQFpPIjisBbLn4lL6rLnF0fCNMDNIf35OQt4vGrU3THuXhaG0MQGR8kkbjfZ/m5Qvx06GDqFSqHNs5W6VSceTIYSaNHJQj7f9TyeJOGBsZEhefgEuJouluJfDOviPH2bnvMP5PAqhd/TPGD+uPg12h97YfHBrGwLFTOHb6AipU1K1VnXlTxtOmeSOKOr7/hQn/JwEA/LJ6E87FzD8rOgAAIABJREFUi/LT9O+pXe0zLlz15vtZC+n49Td4e/1OQVubt8lSbCzTJozky5ZNCAmLYNOuvazdtoeO/Udy+fBOTE2M39uPdToLwd/F+Doq+r2xZkXrpg0Z+f0Mzpw5Q9OmTTXevhCZkWRJZNu1a9coUsAcB6v0f8DmJKVKxTebrxGfmEJpe3MO33rJzivP6FzDKd36x+4E0W/1Jfq4F6dTdSd2Xn1G51+D2TeyHtam6b9tFhrzhmN3gtDTUdC/Xkm61SpG+cI5s3/Nkh5VMdDToazD2/ZLFny7BsjcSJ9fj/vxp8+LDMf27sy4iNi0CVHc37NUViY5eybaP1Uvbk1E5C2ePHlCiRIlcqSPR48eERHxmlrVKudI++8olUr6j/qeuPgEypVyZv9fJ9i8e3+qx1vvHD5+hs4DRjGwV2d6dGjN5t37adltIMf3rKeAdcazj8Gh4Rw+fgY9PV2GftWDvl3a4Vruw2ZrI16/fWngTWIi25YvpIzL2z/vKq7lCAoJY87PK9ix7xDD+/dk1aKZGBoYUKHM260dXEoUw636Z1iYm7Nw2Vr+OHQ03XEBGBoapOrvn+Li4gFyZG+nIg52FClsz/Xr1yVZElohC7xFtj158oSStqZa6fuXY35cehRGL7fibBvijpmhHpN23+TF6/g0dZNSlPxvmzdf1fk/9u47vObrD+D4+2YnMmQTiWyJ2HtvWnuUnxG0RiltjaKqaCmKVosaNWvvvanVEMSKnYiI7CGy977398flcpubRSLoeT1Pnsr3e77nnnNdzSdnfI49v/avy6g2juz8ohkRCelsuRJc4Gs4WxqwfXQzPmlow65robT/9TyN555m1qH7XH0SR56KnEivq7ZNRUWg9KqObvIF235Pkwt89sX0W2hc/rQECeny6TdT/bd3fISDuXydVFBQUJm9xou6y3IKDuC3Pzdw+cYtRrr349i21RjoV+CbH+YTHvlUqVx2Tg5ffDuLL4YOYMWCH/l65BCObF1NWGQU67ftLfQ1XJ0cOLz5Twb16c6W3Qdp+FFfXJp35ts5i/C85k1enrTAZ60qyT8fTerXVgRKL3Tr1AYAv4BAQD7d9iJQelWX9vI1dT6PAgp8nUrm8rWAQSHh+e7FPw+gzE3LZk2cs71tmX6WBKEwIlgS3lhSUhIG2m//o3Q/PIlFJ/2wNtFjdu+aWFXU5cdeNUnOzGHijlv8OylGYEwa0cmZ9HtlZMZUXxsnSwP+fhBV4OtoqEno4GbJMvf6+Pzchc2fN6WRnSnbvULovdyTWj+cZMKOW4SoCFJKIjIxg2N3I4lIyB/ovajbTL/gqR8Hc30kElS2wzdCHmTVtzV5ozaWhIGufBQrMTGxzF4jOVneLyODgtdyvak7Dx4y5/eVVLW24pcfpmBtVYkFMyaTlJLKqCk/8Gr2lYCgEJ4+i8H9lZEZc1NjXBztOXbGo9DX0dBQp3P7VqxfPI/wuxfZv2EZzRrWZePO/XTsN4yq9dsyatJMgkLzByo2VeQbK3JycvPdy8zMAsDQQJ/wyKccPHGGsIj8n/fA5/VamBX8GXF2sEUikSjKvuqe7yMAGpXi4u5XGRnol+lnSRAKI4Il4Y3l5eUVuVOrtGXl5PHl1pvkSqUsHVQPfW35jPLQZna0cDbjon8MGy8FKj3zYgH0vxdJO1noqwxQVNFUV+PjmpVYObQBPvO68NeIxrSqZs7ROxHcD88/NVESCWnZfL7xOkvPPMp37/DtCACaOpoW+HwlIx2aOprh9SSO4FeSXubkSTngHUZlIx1ql8Ii9OLSeP6ZyM3N/wO8tLyoW0OjbNJVZGZl8dm4aeTm5bHutzkY6MtHUD8f3I82zRtz3vMqqzfvUpR/sQDa1Vl5kXQ1RztCVQQoBdHS1KR7p3ZsWraQ8DsX2L12Ce1aNGH/8dPcefAwX3ldHW3atmjCrfu+BASFKN07/Pd5AJo1rEt8YhIDv5jEwuVr89Wx94g8P1KLxvULbFdlSwtaNWnApWs3CQwJU1zPyc1l16ETWFWyoH6tstlgoaGh/lZSUQiCKmLNkvBemnvUl8fRKQxv6UBL55c7cyQSWDywHm1/Oc/coz60cbXA8cV0UEwaahIJhjrK63aqmlTgZGbBP8jiUrPYeS20wPu1rCviaKFf6CLx4nCzMqKhnQnbvIIx1tOiWx0rpDIZ+26G4eH3jO51rKj3PDXB1ivBTNt3l0kfuzD5Y1dFHRM6VmPIWi9GbbrBxI+qUVFXixXn/AmJS2fb6Ka8pWPiPhjT5y/BLyCQMZ8Nom2Ll0d5SCQS1iz6ifod+zB9/mI6tm6Os4MtAUGhqKmpYWSgnHvJzsaa5JTzhb5WTFwCm3cfLPB+3ZrVcXawLXCh+M/fT6RlD3fcx05h7ncTsLaqhMfla6zftpcWjerTvVM7+QaFBnX4a8d+TIwr0rtLR6RSKTsOHOPsxSv06dqJRnVrKepcv30f42fMZcbEscyYKD9y5Ltxo+j12Ze4j53MtHGjMTYyZNGfGwgKDefQppVltphfEMqTCJaE986FR8/4y/MJdmYV+KFnjXz3bU0r8H03N348eJ9x27w5OqE16moSNNQlSGUyUrNylRJWZuXmYV/ImqtnKVnMO+pTZLvcrEqecftVEgls+rwJk3beZtlZf5ad9VfcG9bCntm9X+bWkQF5Ulm+qca2rhasGNKASbtuM3LDdUCeXuGn3jWVElUKRTvn6cWfG3fgYGvD/Onf5LtvX9WaOVPHM+WnXxkxcToeB7eiqamBVColJS1NKVllZlZWkeuqomNimbFgSZHtKijrdsM6NTm8+U8+nzSTnp++PG6me6d2rFs8F5AHefvWL+OLqbP4dcV6fl2xXlHui6ED+OXHb5XqlMlk5OVJlaYaO7ZuzsY/FjDm21kMGC1/XyoaGrDox2+VElUKwodEHHcivLH+/fuT+fgK64aVbYK+N3XAO5wvt97k7LftqPnKUSLjt3sjlcGKIaWf/fl1hcenE/AsFSM9TZwtDRTTjMWVK5VxNzQBqYxiJbQsK5UmHmL37t3079+/TOrfs2cPAwYMICvsfpnUX1K7Dp3gs3Hfcf3UXurUeDniN/KbGUilUjb+saDM25CTm4uP32Ni4xOo6epMJQvVByiHhkfiHxiMkaEBrk4OiinG4srNzcP7no/8YN5iJLR8U+5jJ6Oma8SePXvK9HUEQYW9YmRJ+M9o6miKRAL3wxMVwZJUJsPTP4ZRbRzLuXXKrE303iiHk4aahAZ2b28xtyDXsnF9JBIJtx88VARLUqmU85euMm7kkLfSBk0NDerWzJ+48t+qWlsVmb+pMBoa6opEl4LwoRMLvIX/DKuKunR0q8QvJx7yICKJ9Ow85h/zJTUrly61X/+HhiC8YG1ViS4dWjN70Qru+viRlp7BD7/8QWpqOr06dyjv5gmC8JrEyJLwn7JyaAPcV3vRcdE/qEkkGOlp8ufQhoWuWRKEkti0bCE9h46hcef/oaamhrGRIZuXLyzzXFCCIJQdESwJ/ymGOpocm9ia8Ph04tOyqWlthFo57d6RymSv9dq5Uhm5eVJ0ijjWpSRlc6Uy1CUSsVuuFBgZ6HPh0DZCwyOJTUikbg1X1NTerUH81LR09CuUfJpXJpORmJxS7CzdKalpZOfkFJq5XBDeByJYEv6T3nRN0Ot6EpPKRs8gTj2IIiUjh0b2pnzR1pFW1VQvwn2Vh98zfj7mg19UCrlSKdbGeoxt58Swlvb5gq7ilj3nG83CE748epqCgY4mLZ3NGN7SodB8TkLxvOmaoNJ2+/5DZi5civfdByQkJWNhZkrPj9uxYOZkpZ17qiQkJTP958XsPHiMjMwsDPQr8HG7lvwxbwZmJqozdsclJNKgU1+MDPS5+8/hsuiSILw1IlgShLckMyePT9dd5WlSJp80sMZYT4vjdyMZuu4qu8Y0LzRA8fSPYdCaKxjqajKwSVU01NQ4djeC6fvvEZeazbddXEtc9uAt+e5AGxM9vmrvTFRSBkduR3D+YTSnJrXF0aLwH6DC+8P7ng9dBn6OhoYGA3p3w6SiIXuPnmL99n3ceeCH55HtBY5+Zefk0OvTsVy/fZ9hA/rQpEEdbt65z/rt+4iIisbj4FaVz30x5Ueiop/lyzklCO8jESwJwluy4LgvT56lsuOLZoqcR6PaONL+1/OM3+HN9R8+KvDZxacfIZPB35PaYvd8fdWMHm7Um3WKVf88ZtLHLor0AMUpK5XJmHP4AXpaGpyZ0g6j50eTzOxRg3qz/uaLzTc4+227snw7hLdo1aadZGRmcenoRsUuvVlTvqbzoM/559I1Dp44S9/uqj9/W/ce5tqte/zywxQmjv4MgOEDP0EikbBu21687/nQoLZyvrM1W3dz2uMyJhXfLPeYILwr3q2JdOE/a/Ku24zf7k1QbBqTdt2m3uy/6bvyEvtuyo9UWO0RQKffPKgx8yTua7wIjElVej4rJ49FJ/1oMvcMNpOP0GzeGb7dc4fULOWjNpIycpi29y5tFp6j1g8nGbHhGud8o99KH3ddD8XNylApOaS5gTbtXC0IjUvnVkhCgc9GJmRQuaKuIvgB0NfWoF5VY3LyZGTlSktU9tHTFKKSMungZqkIlEB+9lwbFwseRCSRnJlTWl1/p42dOpuR38zgSXAoY76dhUPjjnw0YCQ7DhwD4I91W2jatT/WdVvTY+jYfMeJZGZlMef3lbi26IKBQ33cWnXjq2k/kZKqfEZfYnIK46fPo16HPtjUa0v/URM5dd7zrfTR6+Yd6tRwVcr9BPBZ/z4A3LhTcJ6qnQeOYW5mwpfD3ZWuf/f1KDYsnY/5v6bhfP0D+G7OIuZP/6bAHE+C8L4RwZLwTngQkYTHoxj6LPfkZnA8LZ3NuB4Yz7jt3riv8WLeER+sKurQxMEET/8Y/vfnZaSv5FP9bt9dlp55RFNHU2b1qkEHt0rsvRHGwFVXFGWiEjPouOgf9twIpZmjGQOb2BIWn87QdVdZe+FJmfYvPi2bpPQcWlfLf1SFw/PprrthBQdLXWtXJioxQymwe/IslcsBsbR0NkNPS71EZaOTMgEUx6e8qp6tfDHuo6iUEvby/XTXx48zF67Qod9wrnrfpW3zxnjduM2IidPp+elYps9fTJVKlWjeqD4el6/RedAopNKXwen46fNYuHwtrZo0YOHMyXRu34rt+4/SfcgXijIRUdE0/rgf2/YfoVWTBnw2oDch4ZH0Gf41y9ernsYqLTm5uXRq05yxwwbluxce+RSg0BGgx0GhdG7XCi1NTYJCwzl25h9u3felsqUFg/v2UFqXlZmVxdCvptKicQO+GjG49DsjCOVETMMJ74xnyZlM61adiZ3kxzn0qW+N+xovrgTEcuH7Dooz3sbvuMWe66EExabhaK5Pdq6U/TfD6ehmyR/uLw8BtTPTY+aB+zyJScXRXJ95R30Ji0/nxDdtqG8rDxKmdnFl0Gov5h7xoX8jGyrqaalsW3xadr6DeVXpXqcKLpUM8l1/cYivhWH+8+OcLOTlY1OyC6x3ZCsHPP1jGLLOi0Z2pmhrqnH5cSyWRjp8382txGVfjDpdehzD2HZOSs/7P5W39dHTZBrZ/zcSW0bHxPLT1HFMGzcagAG9utLz07Fc9LrBnXOHcXawBeDzSTPZuvcwT4LDcHawJSs7mx0HjtGlfRvWLZ6nqM/R1oZJsxbyODAEZwdbZixYQkh4JJ5HttO4njyR44+Tv6LH0LFMn7+Ewf16qgxYYuMTWLNld5Ht79O1I27VnFTe09TQYOnc6fmux8TGs2rzTjQ1NOjasY3KZ1PT0nn6LAYLM1P6DP+aE2cvKO65ONmz7vd5Sokpp837najoGI5vXyPOiBM+KCJYEt4Z6moSvmrvrPj+xVlrLZ3NFYESQAsnM/ZcD8X/aQqO5vrkSeUjTFcCYrkfnkQta/lzI1o54N7UDm0NNRLTszlwK4y6VY0VgRKAproaQ5rZculxDMfvRTG4qa3KtsWlZrHopF+RfXA011cZLAXHyKdkjCto5rtnbawLyKcIC2Kop4m1iR4PIpK4HZqA5vNz7jTUJPmmGotT1t68AnVsKuLpH8P2qyH0qlcFqUzG/pthHL0TCaB4X/8L1NXVmDRmuOL72m7VAGjbookiUAJo3awRW/ce5uHjJzg72JKXJx9huuh1gzsPHioyZ48dNohhAz9BR1ub+MQkdh06QcM6NRWBEoCWpiYj3fvicfkah06eZcSgvvnaFRufwJzfVxbZfmcH2wKDJVVOnL3A6G9/JDYugd9nf0dNV2eV5Z4Eyw+QXvHXNhztqrJ07nSaNqiL183bTJ+/mL4jx3H7zEHMzUw4cfYCqzbtZM+6pWL6TfjgiGBJeGdYGuqg+cr5Ujqa8j9XMlIejXmx9T3n+TodXS11Jnd2YeHxh3T67R+cLQ1o4WxGRzdL2rpaoq4mIeBZKjIZpGXlMnrzDaX6UjPlAURwrPIak1c5WRgQvKhHkX3QLOB8LC0N+fWEtPwBUXp2HgAV9fIHUi/0+sOTh1HJLPxfHfrUs0ZbU41zD6OZvOsOg9d6cXFaB2yep0Iobtml7vUZuu4qk3fdZuaBe0hlIJXKGNLMli1XgnGtXLxcOh+CypYWaGm+fP+1tbUBsLJUnjZVf75jLDtb/veop6vDzEljmfXrcpp06Y+rkwNtmzemc/tWdGrTAnV1NfyfBCOTyUhNS2fwl1OU6ktOkX/mAkPCVLbLxdGexMc3i2z/q20vTGBIGFN++pXjZzxwtKvKlmW/0L5V0wLLJyQmAZCVnc2uNYtxcbIHoF6t6kTHxLFw+Vr2HDlJ3+4fMWryD4wY1FdkKhc+SCJYEt4ZegUcFlucM2AndnKhdz1r9twI5axvNFsuB7PpUhCO5vocHNeShDT5FJe2hhqa/9oibaynRd8GNipHhF6QSChWEsiCvJh+C43LH5AlpMvbZqqvegrwcXQKD6OSae5kxrAW9orr3WpbcSMwntUeARy/F8mYtk4lKlu9siEe37XnyO0I/J+mYGGoQxsXc64ExAIU+n58aCro6aq8rlaMD9+0caPp37MLW/ce5tR5T9Zu28PqLbtwdrDl3L5NxCckAqCtrYWmhvJn3NTYiEF9uhU4KiSRSNDV0S5hb1TbceAY46bPRSKRsGDGJL4aMRhtLdWfuResKsk3IzSpX1sRKL3QrVMbFi5fi19AIGu27CY2PoGklBRGTZqpKBP5NBqZTMaoSTNxdrBj6tefl0pfBOFtE8GS8N7LyZOSnp2HjYkeU7tUZ2qX6jxLzmTpGX82eAbyl2cgfRvYAGBvrs/KoQ2Uns+TykjNylVaJP1vz5IzWXz6UZFtcW9iS22b/NmKHcz1kUggREWw5BuRDEB9W9Xrg3wj5febO5nlu9faxZzVHgEkpeeUqGxOnpTQuHRMKmjh/q+px+XnHmNpqFPg+i3hpeycHNIzMrG1rsKsKV8za8rXRMfEsmDZWlZt2snKjTsY1KcbAE72Vdm0bKHS83l5UlLS0tDTzb+WDeRrqeYvXVNkOz4b2If6tdwKvH/i7AVGTJxO0wZ12LriV2yqVC5W/16Uy8nJzXcvMzMLAEMDfcxNTahTw5WAoFClMlnZ2UilMu76PnrnspgLQkmIYEl473n6x+C+xosVQxrQr6E8KLIw1OGr9s5s8AwkKT0He/MKmOpr4+EXTU6eVGm6bNlZf3458ZDD41vRxEF1YsjkjBy2e4WovPeq5o5mKoOlSkY6NHU0w+tJHMGxaYoF1jl5Ug54h1HZSIfa1qqPhKj2fITn6J0IpnRW3vp95E4EANWfT5kVt2x6dh4t5p+lT31rVn3aUFEmKjGD43cjGdREnGNWHB6Xr9Fj6Fg2/rEA90+6A2BpbsbkMcNZtWkniYnJONpVxdzUmDMeV8jJzVUaXfp15TpmL1rB+QObadGofr76E5NS2LBzf5HtaNW0YaHB0g+//IGRgT671iwu0XoiXR1t2rZogsflawQEheBk/zKwPvz3eQCaNaxL907t8qUWAGjatT8ZGVlcP7W32K8pCO8iESwJ773GDqaY6Wuz+O9HWFXUpaa1EcExaSw9Ix8J6ljDEk11NWZ0d2PSrtt8tc2bcR2c0dfR5NT9KJacfkQbFwsa2xecQdvJ0oCw33u+UTsndKzGkLVejNp0g4kfVaOirhYrzvkTEpfOttFNFeeybb0SzLR9d5n0sQuTP3bFpZIBbV0t8PB7xqDVV+jb0AYbEz1O3ovi4K0IXCoZ0KW2fASguGU11dVo6WzOsbuRtL4WQtdaVgTFpjJl9x0qV9Thx14136iv/xXNGtbD3MyEn5euxrqyJXVqVudJcCgLl60FoEuH1mhpajJ32kTGfDuLYeOnMWXsSAwNKnD09D8s+GMtHVo1o3nDeirrd3GyJyXw1hu1MSEpGZ9HAdSt6cqSNZtVlmnTrBFdO7Zh/fZ9jJ8xlxkTxzJj4hgAfv5+Ii17uOM+dgpzv5uAtVUlPC5fY/22vbRoVJ/unUTyUuHDJ4Il4b2nr63Bn582ZPx2bz5ZcUlxXVtTne+7udHRrRIA7k1tycjOY85RH47clo+yaKhJGNzMju+7VS/zQ2TbulqwYkgDJu26zcgN1wEw0tXkp941lRJVypBPDb5II6UmkbD604ZM33+Pg7fC+cfvmaJsU0dTlg6qrxgpK0nZpYPqMWbLTb7ZeZtvdt4GoJZ1RVYNbYh+AevHBGUG+hXYsuwXRnwzg079Ryiu62hrM2fqeLp0aA3IM15nZGTy/c+L2Xf0bwA0NNQZMagvP00dX6bb7L1u3EYmk3H7/kNu33+osoxEIqFrxzbIZDLy8qTIXslh1rBOTQ5v/pPPJ82k56djFde7d2rHusVzy6zdgvAukche/VchCK+hf//+ZD6+wrphjcq1HRnZefhGJhGRkIGJvhaulQ0x08+/ODY1K5cH4UmkZeVS3coQq4qqF/eWlVypjLuhCUhlUN/WWHFMSXFEJWbg9zSFzJw8nC30cbQwKDDIK05ZmQweRiUTEpdGbeuKVDEu3fei0sRD7N69m/79+5dqvS/s2bOHAQMGkBVWcAbqtyE9I5P7D/0Ji4jCzKQiNVycMTfLvwYtJTWNOz5+pKWlU9PVGWurSuXQ2teTk5uLj99jYuMTqOnq/NbTA7iPnYyarhF79ux5q68rCMBe8euj8MHQ1VKngZ0JDewKL6evrVHoobVlTUNNQgO710v2WLmiLpWLGdwVp6xEAm5WhrhZ/XfSBJQFPV0dmtSvrZSgURUD/Qq0atKg0DLvKk0NDUUeKUH4rxHbEwRBEARBEAohgiVBEARBEIRCiGBJEARBEAShECJYEoQ3dM43mkO3wsu7Ga8tVyr7T50D9746dd6TPUdOlnczBOE/SSzwFoQ3tOL8Y4Jj0+hd37q8m1Ii+73D2OgZxP2IJPLypNiaVWBkKweGtbRXnL8nvDt+X7WBJyFh9O/ZpbybUmxSqZTGnf9Hbm5evnu2NlYc3vxnObRKEEpOBEuC8B+050YYE3Z442hhwKjWDmTmSDl+N4Lp+++RlJHDNx+5lHcThQ9ARFQ09x/6U9PVGZOKRkr3/v29ILzLRLAkCP9Bq/95jIOZPie/aYOBjvx/A193cKbRnNNsvBQkgiWhVDwJlp8Vt/GPBdR2E58p4f0lgiXhnZKVk8eys4/ZdzOMyMQMrI11aVnNnFm9aipllb4SEMuROxFcfBRDRk4eTRxMaeZoypBmdookj5N33SYnT8o3H7uy/Kw///g9w8G8AoOa2NKvoQ2rPQLYfzOcyMQM6thUZN4ntXAw11e8xujNN6hhZURzJzPWXXzCJf8YzAy06d+oKl+2dyp0qiopI4cFx3zxehJLfFo2jexNGNzUjg5ulkrlitvf0pScmYNfVAojWzsoAiWQn1/Xqpo5nv4x+c7P+5BkZmXx64r17DhwjIioaGyqVKZdi8YsnDkFA/0KinIXvW6w/9hpznp6kZGZSYtG9WnVtCEj3fuh/sp7M3bqbLJzcpg+4QsWrfyL0xcu42Rvy7ABfXD/pDt/rNvCzoPHCI98Sr1aNVgyZ5rijLXBX06hdnUXWjdrxIoN2/C4fB1zUxOG9OvJpDHDijx8NjE5hR8X/oHnNW9i4xNo1rAuIwb1pXP7ViXub1l4HBSKRCLB2cGuTF9HEMqaCJaEd8p3++6y90YY/RraUMvaiODYdLZ5BfMwMpljE+VHR1x+HEv/VZcx0NHkkwbWmFTQ4uKjGL7be5eQuHR+7FkDgAcRSUQlZXLRPwZDXU1aOptx6FYEVwJiOeAdzsVHz+jgZomNiS5nfKL535+XufHjR4ogyNM/hnthiaw895gWzmYMbW6Hh98z5h31ITAmlcUDVZ/nFZWYQc9lnsSlZtG/UVUMdDXx8Itm6LqrzO5dk9FtHEvU39KmoabGofEtsTVV/kGZnJmDb2QSbV0tPthACWD89Hls23+EwZ/0oG7N6jwJCWPDjn088HvMhUPbALhw5Tpd3EdhZGDAgN5dMTMx5pynF+OmzyUoNJwFMyYp6rvr40d4VDTnPK9S0dCAts0bs/fIKS563WDXoeOc8/Sic7vWVK1ixclzF+k8aBT+V06hpqbGP5euceueL7+v2kCb5o0ZObgfZy9cYcaCJQQEhbB60U8F9iMiKpp2n3xKbHwCQ/r2xNBQnzMXrtBn+Nf8+sMUxn0+tNj9LStPgkOxqVKZ1LR0/rl0lejYOFydHGhcr7ZSwCkI7zoRLAnvjOxcKftvhtPRzZI/3F+ewG5npsfMA/d5EpOKo7k+B2+Fo64m4doPnTDS1QRgXAdnGs89w2mfp4pgCeBZcibTulVnYif5FECf+ta4r/HiSkAsF77vgOPzkaTxO26x53ooQbFpimsAwbFp/NS7Fl+0lQc433Wtzv/+vMzOayEMa2FPbZuK+fox76gvYfHpnPimDfVtjQFBoAPiAAAgAElEQVSY2sWVQau9mHvEh/6NbKiop1Xs/v5bfFo2Gy8FFvl+dq9TBZdKBvmu62mpKx0avPbCE8Lj0znrG02eVMb4jtWKrPt9lZWdzY4Dx+jSvg3rFs9TXHe0tWHSrIU8DgzB2cGW3YdPoqGuwcPLJ6loKH8Pp3w5ApfmXTh+1kMpWAKIjonlp6njmDZuNAADenWl56djueh1gzvnDuPsIB9J+nzSTLbuPcyT4DDFtcCQMBb9+C3jR30KwOwpX9N50Cg27T7I6E8HUL+Wm8q+zFiwhJDwSDyPbKdxPXnm8B8nf0WPoWOZPn8Jg/v1pIKebrH6q0psfAJrtuwu8j3t07UjbtWcVN57EhxKSkoq1Zp9RHpGpuJ6/VpubFy2AFcnhyLrF4R3gQiWhHfGi+3rVwJiuR+eRC1r+QLQEa0ccG9qh7aG/DfRMW0dGdnaQREoAWTnyTDU1SQlM0epTnU1CV+1d1Z872Ylr7Ols7lSINLCyYw910Pxf5qidN1IV1NpJEhNImFCJxcuP47F49GzfMFSYno2B26FUbeqsSJQAtBUV2NIM1suPY7h+L0oBje1LXZ//y0uNYtFJ/0KfS8BHM31VQZL/7bguC8Z2fLdSi6VDNDRVC/ymfdVXp4UkE+x3XnwUHF8x9hhgxg28BN0tOVnCU4Y9SlfDndXBEoA2Tk5VDQ0ICklNV+96upqTBozXPF9bTd5wNm2RROlYKR1s0Zs3XuYh4+fKK5XNDRQjAIBqKmpMe3rUVy4cp2zF66oDJbiE5PYdegEDevUVARKAFqamox074vH5WscOnmWgb27Fau/qsTGJzDn95UF3n/B2cG28GApLY05U8fTq3MHYuIS2LbvMBt3HaDviPFcP7WXCnpv92xGQXgdIlgS3hm6WupM7uzCwuMP6fTbPzhbGtDC2YyObpa0dbVUrEVysjQgIS2bVf8E4B0cT2h8OkExqaRk5lLJSEepTktDHaUpJR1N+Z//Xe7F1FtOrlTpur25fr7DZ18EIMGxafn6EPAsFZkM0rJyGb35htK91MxcpeeK299/c7IwIHhRD5X3XlXcqbSgX3sQGJPK9cB45h/3peuSC3jP+ggLQ52iH37P6OnqMHPSWGb9upwmXfrj6uRA2+aN6dy+FZ3atFBMDbk42ROXkMjStZu56n2XkLAIAoJCSU5NpbKlRb56K1taoKX5MnjXfh6EWP2rrPrzNUjZ2S+Deid7WyT/+pC5ucgD9MCQMJX98H8SjEwmIzUtncFfTlG6l5ySpni2uP1VxcXRnsTHNwu8/8Kr/f639Ut+RltLixouToq+NmtYF0MDAxav3sihk2cZ3Lfoz7IglDcxaSy8UyZ2cuHqzE5M+tgFXS11tlwOZsjaq7RZcI5nyfJh/D/PP6bu7L9Z8vcjcvKktK5mzh/uDZSmll7QK2CRdAFxSD6Whvl/89bTkteprZF/BCYhLfv5PTU01ZS/jPW06NvARmm0pzj9/TeJBHQ01Yv8KijYkslAKlNOQulgrs/AJlWZ2d2NnDwp5x5GF+8Neg9NGzeah5dOMH3CF+jp6rB22x56D/uKuh16ER0TC8Di1RtxaNSR+UtXk5OTS/tWTVm/ZB7NG6lep1bQ6IhaMT5olSzM813Te16fdgEjP/EJic/va6GpoaH0ZWpsxKA+3RSjPcXpryoSiQRdHe0ivwoLuOrXclMESq/q8nwBus+jgAKfFYR3iRhZEt4ZOXlS0rPzsDHRY2qX6kztUp1nyZksPePPBs9A/vIMZHQbR+Yd9cVUXwuvmZ2UdowtPfOo1NsUpGL0KCw+HQAni/zriV4smrY312flUOXT5fOkMlKzctHTkgdZxenv993yT8E8S85k8emi++rexFblmqrl5/yZf8yX7aOb5dudZ6KvBUBEQkaR9b+PsnNySM/IxNa6CrOmfM2sKV8THRPLgmVrWbVpJys37mDcyKHMWLAUMxNjfD2PK+0YW7hsbam36cX2+leFhEUC4OJop/IZe1t5AlQn+6psWrZQ6V5enpSUtDT0dHWK1d85U8erfI3omFjmL11TZPs/G9hH5VRheORTbty5T8M6NbGpUlnpXmCoPOO9hZlJkfULwrtAjCwJ7wxP/xhcvj/OwVeODrEw1FGsOUpKzyE8IQOpTEa32lZKgVJkYgY+EUml3qbAZ6kExiivUdl1LQSAmtb5k+rZm1fAVF8bD79ocvKUp/SWnfXH5fvj3ApJAIrXX1WSM3LY7hVS5JeqaUKA6pUNAbjw6Fm+e9u85H2rUeXDTBjocfkaljWas/vwCcU1S3MzJj9fb5SYmExoRCRSqZQ+XToqBUrhkU+561v0WrGSehwUTEBQiNK1zXsOAVC7hqvKZxztqmJuaswZjyvk5OYq3ft15TosazTnxp37xepvQRKTUtiwc3+RX4HBqqcK4xOTGPjFJBYuzx9g7j1yCoAWjevnuycI7yIxsiS8Mxo7mGKmr83ivx9hVVGXmtZGBMekKUaMOtawxNFCnwraGhy6HUF7N0ucLPS5ERTPwhMP0dfRIC0rlyfPUnFUMerzOvJkMob9dY1pXd1wtNDn+N1I1l8MpGe9KjRxyD/tp6muxozubkzadZuvtnkzroMz+jqanLofxZLTj2jjYqGYLixOf1VxsjQg7Peer92nDm6WVK9syF+egRjqatLO1YKopEyO3ong9IOn1K1qTKcalV67/ndZs4b1MDcz4eelq7GubEmdmtV5EhyqGDHq0qE11Rzs0K+gx96jp/i4XUtcnOy5cvMOsxctx1Bfn7S0dPyfBFOtgFGfksrLk9Jv5AR+mjoOZwdbDp08x8oN2+nX42NaFhBMaGlqMnfaRMZ8O4th46cxZexIDA0qcPT0Pyz4Yy0dWjWjecN6pKalF9nfgrg42ZMSeOu1+1WrejWaNqjDXzv2Y2Jckd5dOiKVStlx4BhnL16hT9dONKpb67XrF4S3SQRLwjtDX1uDPz9tyPjt3nyy4pLiuramOt93c6Ojm/wH+NJB9Zi48zafrrsKQEU9Leb0qYWeljrjt3vTZuE5whf3KpU2tXI2p1JFXT7feF2xzqe5kxm/9KtT4DPuTW3JyM5jzlEfjtyOAEBDTcLgZnZ83626YsF4cftb2tQkEjZ93oSvtnrz2yk/fjv1crSkW20r5vWtjUZxF3W9Zwz0K7Bl2S+M+GYGnfqPUFzX0dZmztTxiuBh7W9zGT3lBz4ZMQ6QH82xaNZUKujpMvKbGdTr2Ju0oDul0qZ2LZtQpZIlA7+YhFQqH41s3awRy36eWehzwwd+QkZGJt//vJh9R/8GQENDnRGD+vLT1PFIJJJi97csSCQS9q1fxhdTZ/HrivX8umK94t4XQwfwy4/fltlrC0Jpk8hkMnHcuPBG+vfvT+bjK6wb1qhU6svIzsM3MomIhAxM9LVwrWyImb7yQteEtGzuRyRhaahDNUsDRQCSkJZNYkYO9mZvnpm4+owT1KtqzI4vmpGUnsOdsAQqG+lSrRjb8QFSs3J5EJ5EWlYu1a0MsaqoehFwcfpbFqQyGaFx6QQ8S0FHUx1HCwMqG5XuDrhKEw+xe/du+vfvX6r1vrBnzx4GDBhAVtj9Ej2XnpHJ/Yf+hEVEYWZSkRouzpj/a/1MXEIidx/4UcnSjOrOjooda3EJiSQmJeNoV/WN229VuxUN6tTk6NZVJCQlc+ueD1aVLKju7Fj0w8+lpKZxx8ePtLR0aro6Y22VP8guTn/LUmh4JP6BwRgZGuDq5PBamcPdx05GTdeIPXv2lEELBaFQe8XIkvDO0dVSp4GdCQ3sCi5jXEGL1tXy7yIyrqCFcQWtUm+TkZ4mbVzybxkvjL62Bk0d80/V/Vtx+lsW1CQS7MwqYFcKgeX7Rk9Xhyb1a9Okfu0Cy5gaV6R9q6Yqr5sa5184/6aMjQzp0KpZiZ8z0K9AqyYNCi1TnP6WparWVlS1tiqX1xaE0iAWeAuCIAiCIBRCBEuCUABLQx1MymCUShBeqGRhhplJ6Y9SCYJQusQ0nCAUwOO79uXdBOEDd+vswfJugiAIxSBGloT33jnfaA69kqvofSWTFZxbqSi5UpnirLnSKluSOoWXTp33ZM+Rk+XdjFKRmpb+Ws/JZDISkgrO4SQI7xsxsiS891acf0xwbBq961uXd1NeS1J6DnOOPGC/dziZOXnoa2vQ3s2Shf3qFDkNuN87jI2eQdyPSCIvT4qtWQVGtnJgWEt7xXl3JS1bkjqF/H5ftYEnIWH079mlvJvyWm7ff8jMhUvxvvuAhKRkLMxM6flxOxbMnIyhfuH5yxKSkpn+82J2HjxGRmYWBvoV+LhdS/6YNwMzE+NCnxWEd5kIlgShHOXkSXFf68WtkHgGNbGloZ0Jt0MT2HolmKjEDI5OKDgPzp4bYUzY4Y2jhQGjWjuQmSPl+N0Ipu+/R1JGDt985FLisiWpU/jweN/zocvAz9HQ0GBA726YVDRk79FTrN++jzsP/PA8sh01NdUTEtk5OfT6dCzXb99n2IA+NGlQh5t37rN++z4ioqLxOLj1LfdGEEqPCJYEoRztvh6Kd3A8s3rVZGw7+YGj7k1tkQBbrgRzNyyROirOdwNY/c9jHMz0OflNGwx05P+Uv+7gTKM5p9l4KUgpsClu2ZLUKXx4Vm3aSUZmFpeObqTO86NWZk35ms6DPuefS9c4eOIsfbt/pPLZrXsPc+3WPX75YQoTR38GyBNnSiQS1m3bi/c9HxrUrvHW+iIIpUmsWRLeuun779FrmSfRyZn57k3ZfYcBq64ozlW7EhDLtH13af7zWerN/psxW26y+XJQkWtpxm335qut3vmuLz/rT69lnuS+8nxSRg7T9t6lzcJz1PrhJCM2XOOcb/Qb9rJ49t0Mw0xfm89bOyhdn9DJheWDG2BawDRccmYOflEptHezVAQ1AJWMdGhVzZyEtGzFe1jcsiWp80My8Yf5tP/kM54+i8l378vvfqKr+2iyc+RryS563WDCjJ+p0bo7Do07MvSrqazduoe8It6XEROnM2z8tHzXF638i/affEZubp7iWmJyCuOnz6Nehz7Y1GtL/1ETOXXe8w17WTxeN+9Qp4arIlB64bP+fQC4cafg5J87DxzD3MyEL4e7K13/7utRbFg6H3MxDSe8x8TIkvDW2ZtVYINnICfuRTK85csg4WlSJjuuhtCjrhWa6mpcfhxL/1WXMdDR5JMG1phU0OLioxi+23uXkLh0fuxZ8G+pd8MSURVPBcakcS0wDnnieglRiRn0XOZJXGoW/RtVxUBXEw+/aIauu8rs3jUZ3ab4mZRfR1BMGu3dLNFUVyMkLg2/qBQqG+ngVsWI/zWyKfA5DTU1Do1via2pckLJ5MwcfCOTaOtqgaa6WonK5uTJil3nh8TJriqrNu3k0MmzjPlskOJ6VPQzNu46QN9uH6GlqcmFK9fp4j4KIwMDBvTuipmJMec8vRg3fS5BoeEsmDGpwNe4dc8XqSx/QBUQFMLlG7ee31MnIiqadp98Smx8AkP69sTQUJ8zF67QZ/jX/PrDFMZ9PrQs3gIAcnJz6dSmucrz2sIjnwLyY18K8jgolM7tWqGlqUlQaDg+jx5jVcmS2tVdGNy3R5m1WxDeBhEsCW/dJw2s+enwA47eUQ6WjtyJQCqTMbCJLQAHb4Wjribh2g+dMNLVBGBcB2cazz3DaZ+nhQZLxTXvqC9h8emc+KYN9W3lv/lO7eLKoNVezD3iQ/9GNlTUyz+6E5+WzcZLgUXW371OFVwKOB4lLSuX6ORMzA20GbruKmd8niruOVka8MegejSwU30khZ6WuuJAXoC1F54QHp/OWd9o8qQyxnesVuKyJanzQzKgdze+m/cb+4+fUQqW9h39G6lUymcDegOw+/BJNNQ1eHj5JBUN5X+nU74cgUvzLhw/61FosFRcMxYsISQ8Es8j22lcT55t+8fJX9Fj6Fimz1/C4H49VQYssfEJrNmyu8j6+3TtiFs1J5X3NDU0WDp3er7rMbHxrNq8E00NDbp2bKPy2dS0dJ4+i8HCzJQ+w7/mxNkLinsuTvas+31euWUPF4TSIIIl4a0z1demfXVLzj2MJjY1S3EO2qFb4VQ20qGNi/wYkzFtHRnZ2kERKAFk58kw1NUkJfP1tti/KjE9mwO3wqhb1VgRKAFoqqsxpJktlx7HcPxeFIOb2uZ7Ni41i0Un/fJd/zdHc/0Cg6Wg2DQA1l14gr1ZBeb3rU0jexOuB8Yz96gPn62/hse09sU6J27BcV8ysuVTOS6VDNDRVH/jsiWp831mbmrMx+1acer8RWJi4xVnpu05cgqrShaKI0gmjPqUL4e7KwIlkC9qrmhoQFJK6hu3Iz4xiV2HTtCwTk1FoASgpanJSPe+eFy+xqGTZxkxqG++Z2PjE5jz+8oiX8PZwbbAYEmVE2cvMPrbH4mNS+D32d9R09VZZbknwaEArPhrG452VVk6dzpNG9TF6+Ztps9fTN+R47h95uBbPY9OEEqTCJaEN6ajo0NyXsny8fRvXJXTPk85cS+KT5vbERafzq2QBMZ3rKbYnu5kaUBCWjar/gnAOzie0Ph0gmJSScnMpVIpHPga8CwVmUw+wjN68w2le6mZuQAEPw9o/s3JwoDgRUVPLRQ2bZWYng1Adq6Uv4Y3xslS/kO4lnVFYlKyWHrmEYduhfN566KnAoN+7UFgTCrXA+OZf9yXrksu4D3rIywM879PxS1bkjpVycyRB1q6uqoPEC4NOjrytmRlZ6Ot9frZ1of268nxMx4cOnWOUUP+R0h4JNdv32Pq158rdn+5ONkTl5DI0rWbuep9l5CwCAKCQklOTaWyZcnODVTF/0kwMpmM1LR0Bn85Relecor8cxgYEqbyWRdHexIf3yzyNbQ0NYss8+J1pvz0K8fPeOBoV5Uty35ReU7eCwmJSYD872HXmsW4ONkDUK9WdaJj4li4fC17jpzkqxGDi/X6qmRkZmFmUnafJUEozIe3AEF460xMTIhLzy3RMx/VqISRnibH7kQAcPi2/L8Dmrw8yf3P84+pO/tvlvz9iJw8Ka2rmfOHewOlqaKSehGgACSkyf+sraGGppryl7GeFn0b2BQ4KiSRgI6mepFf6moF5yWqbCT/H38DOxNFoPTCRzXlJ8c/jlY9YiGTgVSmHKA6mOszsElVZnZ3IydPyrmH0SUqW5I6i+PF+2tq+vp/X0V5UXdcfOIb1dO1YxuMjQw5cOI0AHuPnALg0//1VpRZvHojDo06Mn/panJycmnfqinrl8yjeaN6r/268c+DDID4BHkftLW10NTQUPoyNTZiUJ9uBY4KSSQSdHW0i/xSL8aasx0HjtHo435c9LrBghmTuH3uYKGBEoBVJUsAmtSvrQiUXujWST515xdQ9LR1YeISEjExESNTQvkQI0vCG6tevTob1iUhk8mDiOLQ0lCjdz1rtnsFk5CWzaFb4TSyN8HRXJ70Li41i3lHfTHV18JrZif0tV9+VJeeeVRk/RJApmKFd8Czl8HHi4XM9ub6rByqfGp7nlRGalYuelqqp56eJWey+HTR7XBvYkvtArb+VzGWB0uqdpi9GJV5dVfaq5af82f+MV+2j25GBzdLpXsm+vIRloiEjBKVLUmdxfEwSp7B2dXVtYiSr+9F3Q/8/LGq9PqjO9paWvyvZ2c27NxPXEIie46cpFnDujg7yKdgY+ISmLFgKWYmxvh6HsdA/+Ui+IXL1hZZv0QiQari79n/SbDiz/a28qSqTvZV2bRsoVK5vDwpKWlp6OmqHtWLjoll/tI1Rbbjs4F9qF/LrcD7J85eYMTE6TRtUIetK37FpkrlIusEFOVycvL/0pSZmQWAoUHhCS0LI5PJeOj/hOGjxr52HYLwJkSwJLyxpk2bkpKexd2wBOpWLf724P6NbNh8OYjl5x7zICKJ3we+/A09PCEDqUxGt9pWSoFSZGIGPhFJmBsUvo7HxqQCFx49IydPqpgKe/Q0RWlazd68Aqb62nj4RSuVA1h21p9fTjzk8PhWNHHIPzKSnJHDdq+QIvvY3NGswGBJR1Odls7mXHocQ2BMKg7mL3+YnLwfBUCjAkbRqlc2BODCo2f5Apttz9tVo4pRicpqPB8FK06dxXHpcSzOjg5lOhpgampKNWdnPK7c4KO2Ld+oriH9erF26x5++3MDd338WPXrbMW90IhIpFIpfbp0VAqUwiOfctfXDwszs0LrtrWx4txFL3Jyc9HUkH+eff0DFGt9ABztqmJuaswZjytK5QB+XbmO2YtWcP7AZlo0qp+v/sSkFDbs3F9kH1s1bVhosPTDL39gZKDPrjWLqWRhXmR9L+jqaNO2RRM8Ll8jICgEJ/uX6/wO/30egGYN6xa7vn/zvudDckoqzZo1e+06BOFNiGBJeGO1a9emqrUVx+5GlihYamAnH0la4xGArpY6PetWUdxztNCngrYGh25H0N7NEicLfW4ExbPwxEP0dTRIy8rlybNUHC1U/7Za39aYs75PmbDjFkOa2REUm8aKs/4Y6GgQ/3x6SFNdjRnd3Zi06zZfbfNmXAdn9HU0OXU/iiWnH9HGxaLAKT8nSwPCfu9ZgndJtZk93Oiy5AKjN91genc3rCrqculxDFuuBNPEwZSPn0/Hbb0SzLR9d5n0sQuTP3alg5sl1Ssb8pdnIIa6mrRztSAqKZOjdyI4/eApdasa06mG/NnillWTUOw6iyKVyTjx4Bl9h37+xu9RUbr36MHBA/v4+fuJSN7gOJYm9Wvj7GDLH+s2o6erQ78eHyvuVXOwQ7+CHnuPnuLjdi1xcbLnys07zF60HEN9fdLS0vF/Ekw1RzuVdTeuV5uT5y7y+TczGOnej4DgUH77cwNGhgbExicA8vVEc6dNZMy3sxg2fhpTxo7E0KACR0//w4I/1tKhVTOaN1Q95efiZE9K4K3X7jvIjyrxeRRA3ZquLFmzWWWZNs0a0bVjG9Zv38f4GXOZMXEsMyaOAeDn7yfSsoc77mOnMPe7CVhbVcLj8jXWb9tLi0b16d6p3Wu37cDxM9hWrUrt2mJHnVA+RLAkvDGJRMLwkaNYuXQRkz92RbeAqStV+jWy4ZcTD+lW20ppyklfW4Olg+oxcedtPl13FYCKelrM6VMLPS11xm/3ps3Cc4Qv7qWy3rHtnLgZHM8B73AOeMt32fVrJF8Ptfysv6Kce1NbMrLzmHPUhyPP101pqEkY3MyO77tVL/a04uuqW9WY7aObMWHHLdzXeCmuf1yzEn+4vxxBkCGfGnyxpEhNImHT5034aqs3v53y47dTL3fmdattxby+tRUjRSUpW9xyRfnn4TOCnyUxfPjwEr8nJTVixAgWL17M3/9conP7Vm9U1+C+PZi9aAW9u3RUOgfNQL8Ca3+by+gpP/DJiHGAPOfQollTqaCny8hvZlCvY2/Sgu6orHfi6M+46n2HXYdOsOvQCawqWShyDy1a+Zei3PCBn5CRkcn3Py9m39G/AdDQUGfEoL78NHX8GwWDRfG6cRuZTMbt+w+5ff+hyjISiYSuHdsgk8nIy5M+z1cm17BOTQ5v/pPPJ82k56cvp8u6d2rHusVzX7td6RmZbNlziK/GjX/tOgThTUlkMpk4Vlx4Y8+ePaOakyMjm1dhapfqpVZvQlo29yOSsDTUoZqlgSJ4SUjLJjEjB3uzCoU+H5eaRVRSJjWsjAoNfFKzcnkQnkRaVi7VrQyxqvh2d93k5Enxi0ohLjWL6laGWBZzx5lUJiM0Lp2AZynoaKrjaGFA5QJ2Cha3bEnqVCVXKqPT7xdxqtucI8eOFfu5N9GzZw8CHz/i+sm9aGiUXYqDuIRE7j7wo5KlGdWdHRXBS1xCIolJyTjaVS30+Zi4BCKfRlPbzaXQwCclNY07Pn6kpaVT09UZa6vijei9C3Jyc/Hxe0xsfAI1XZ1LNJ2nyk+/rWDlpp34+z/GwuLNdx0KwmvYK4IlodQsXryY6d9/h+d37alqqlfezRHKyV8XA/np6EPuP3hAtWpvJ5HlkydPqFmzJgtnTGLssEFFPyC8F8Iioqjdrhfzfv6Zb775prybI/x3iWBJKD05OTnUrlkDM0kyO0c3+SCPxhAKFxCdQrdllxk7biILFix4q6/9/fffs3rVn1w8tC3f9nXh/ZOTm0v3IWN4GpvIvfv30SxmjihBKAMiWBJKl4+PD82bNqFbTXOWDHz93S/C+ycxPZuuf1zGpIoDFzwvoaf3dkcXMzMzad++HVER4Vw6sgNzU3Fw6/ts3PS57Dh4nEuXLlOnTp3ybo7w37ZX/OovlKoaNWqwbcdOdl8PYUkx8hAJH4aUzFw+++sGedoGHD956q0HSiDP5n3o0GGQqDNg9ESSU9/8CBKhfCxYtob12/exY8dOESgJ7wQRLAmlrkePHqxYsZLfTj1iyp67KpMuCh+OsPh0eiy/TGiqhOMnTpXrIlwLCwuOHT9OYFgkbft8Skh4ZLm1RSi5nNxcvvzuJ+YuXsWKFSvo0aPoI4UE4W0QwZJQJsaOHcvBQ4c4dDeaQWuvERafXt5NEsrAOd9ouiy9hLZpFa7duEmNGjXKu0nUqFGDa9euo6mtR8se7pw671neTRKKISQ8ku5DxrD7yEkOHjzI2LEiW7fw7hDBklBmevTowaXLV4iVGdJq4T/8evKh4hR74f0WGJPK0PXXGbzWi05de3Dpshc2Njbl3SwFGxsbPC9dokOnj+j12Zf0Gf41AUFFZ1wX3r70jEx++m0Fddr14mlsIpcuXRYjSsI7RyzwFspcTk4Oy5cvZ87sWWhKpAxoVIUedayoY2Nc5kkfhdKTkZ3HRf8Y9t0M59SDKFxcXFi+YiVt27Yt76YVysPDg/HjxuH3yI8eH7VncN/utG/ZrMBz1oSyJ5PJ8L7nw4HjZ9iy5xDZubn8+OMsxo0bJ3a9Ce8isRtOeHuePXvGqlWr2LB+LaHhkRjoaeNS2Wuayo0AACAASURBVAgTXQ001eWZpoV3T2q2lKikLJ5EJ5EnldK8aVPGfPkVAwYMQEPj/TgEIDc3l127drFmzWquXPFCXV2Nao4OWFUyx1C/8MSmQunJzMomNj6Bh/5PSE5JxbZqVYaPGMHYsWMxMjJCW7vwMx8FoZyIYEkoH3fv3uXq1av4+voSHh7OuXPnqFatGnZ2duXdtDcSFxeHv7//B3Xgp4GBAZaWltSpU4e2bdtiaWlZ9EPvsOjoaDw8PLh79y7R0dGkpKSUd5NKzMvLi2rVqmFqqvrswneVjo4OxsbGuLm50axZM8VZb48ePaJ9+/asXr1aTMEJ7yIRLAnl6969e3Tv3h0jIyOOHTuGra1t0Q+9w/bs2cOAAQMQ/6yEsiSRSNi9ezf9+/cv76aUitzcXCZOnMiff/7Jjz/+yKxZs8r0HDxBKCGRZ0koP6dOnaJly5a4uLhw6dKl9z5QEgTh9WhoaLBixQpWr17N/PnzGTRoEOnpYget8O4QwZJQLtauXUuPHj3o378/J06cwMjIqLybJAhCORs9ejRnz57l/PnztGjRgtDQ0PJukiAAIlgS3rK8vDzGjx/PmDFjmDFjBuvXrxe7XwRBUGjdujVeXl5kZ2fTtGlTrl27Vt5NEgQRLAlvT2pqKn369GHdunXs2LGD2bNnl3eTBEF4Bzk6OnL16lUaN25MmzZt2LRpU3k3SfiPE8GS8FZERkbStm1bvLy8OHPmDAMHDizvJgmC8A4zMDDg4MGDTJs2jeHDhzNhwgTy8kRSW6F8vB9JUoT32v379+nevTv6+vrcuHHjvU8PIAjC2yGRSJg9ezaurq6MGDECf39/du7cScWKFcu7acJ/jBhZEsrU33//TcuWLXF2duby5csiUBIEocQGDhzI5cuX8fHxoXHjxvj5+ZV3k4T/GBEsCWVm7dq1dO/enb59+3Ly5Enx26AgCK+tXr16XL16FWNjY5o3b87Zs2fLu0nCf4gIloRSl5eXx7Rp0xQ73jZs2CB2vAmC8MasrKy4ePEiPXr0oHPnzvzyyy/l3SThP0KsWRJKVVpaGoMHD+bUqVNs27YNd3f38m6SIAgfEG1tbTZv3kz9+vWZNGkSAQEBrFy5Ei0trfJumvABE8GSUGqioqLo2bMnQUFBnDlzhlatWpV3kwRB+EBNmDCBatWqMWjQIHx9fTlw4MB7f26h8O4S03BCqXjw4AFNmzYlMTGRK1euiEBJEIQy16VLF65fv05cXBwNGzbE29u7vJskfKBEsCS8sTNnztCyZUtsbGwUp6ELgiC8DdWqVePKlSu4uLjQpk0b9u/fX95NEj5AIlgS3sj69evp1q0bffr04fz585iZmZV3kwRB+I8xMTHh1KlTfP311/zvf/9j2rRpSKXS8m6W8AERwZLwWmQyGbNnz2b06NFMnz6dDRs2iAWWgiCUGw0NDRYuXMiaNWtYsmQJvXr1Ijk5ubybJXwgRLAklFhmZibu7u4sXLiQLVu2MHv2bCQSSXk3SxAEgVGjRnH+/Hlu3LhBq1atCA4OLu8mCR8AESwJJfL06VNat27N6dOnOX36NEOGDCnvJgmCIChp0aIFN2/eRFNTk0aN/s/eeYZFdbRh+F5g6VWqgoUq2LBEUbFib9HYK9FYEmvURLGbzxKNNXaTGEvsJfYSG2JXLNiwUAQFFem9Lct+P1ZWcRcBBRE993XtD+bMzL5zdpjznJl33qmLj49PSZskUMoRxJJAgfH396dBgwbExsZy6dIlmjRpUtImCQgICKjExsYGHx8fmjRpQqtWrVi1alVJmyRQihHEkkCBOHXqFI0aNaJcuXJcvnyZypUrl7RJAgICAu9EX1+fPXv2MGfOHMaMGcP333+PRCIpabMESiGCWBLIl/Xr19O+fXtat27N6dOnMTc3L2mTBAQEBAqESCTCy8uLHTt2sGXLFlq2bElUVFRJmyVQyhDEkkCe5Ox4GzJkCOPHj2fHjh1oa2uXtFkCAgIChaZHjx5cunSJJ0+e0KBBA/z9/UvaJIFShCCWBFSSkZFBv379mDdvHps2bWL+/PnCjjcBAYFSjaurK9evX8fGxoYGDRpw4MCBkjZJoJQgiCUBJWJiYmjZsiXHjx/n+PHjDBgwoKRNEhAQECgSzMzMOH78OD169OCbb77hl19+KWmTBEoBwkG6ArkIDAykQ4cOSKVSLl68iLOzc0mbJCAgIFCkaGlp8ffff+Pm5sbIkSN59OgR69evR0dHp6RNE/hEEWaWBBR4e3tTr149zMzMuHz5siCUBAQEPmuGDRvGkSNHOH78OO7u7oSFhZW0SQKfKIJYEgBg48aNtGvXjlatWnH69GksLCxK2iQBAQGBYqd169b4+vqSnp5O/fr18fX1LWmTBD5BBLH0hZOz423QoEH88MMP7NixQ5iKFhAQ+KJwcHDg6tWr1KlThyZNmvDPP/+UtEkCnxiCWPqCycjIYMCAAcydO5e1a9eybNky1NSELiEgIPDlYWBgwL59+xg7dizffvstP/74I9nZ2SVtlsAnguDg/YUSExND165duXv3LidOnKB58+YlbZKAgIBAiaKurs78+fNxdXVl8ODBBAYGsn37doyMjEraNIESRphG+AIJCgqiYcOGhIWFcfHiRUEoCQgICLxBnz598Pb2xs/Pj3r16vHo0aOSNkmghBHE0hfGxYsXadCgAWXKlOHKlSu4uLiUtEkCAgICnxz169fn+vXrGBkZ0bBhQ06fPl3SJgmUIMIy3BfEzp07GThwIB06dGDz5s2CI/cHEhkZyf79+3OlXb9+HYA///wzV7q+vj59+/b9aLYJfD5s27aN5ORkpfRTp04RHx+fK61Lly7CTtYixNramnPnzjFs2DDatm3LnDlz8PLyKmmzBEoCmcBnQWJiomz79u0qr2VnZ8tmzpwpE4lEsjFjxsikUulHtu7zJD09XWZgYCBTU1OTicVixQdQ+nh6epa0uQKlFE9PTxmQq4+pqakp9TFDQ0NZenp6SZv7WZKdnS2bP3++TE1NTTZ06FBZRkaGynyZmZmyS5cufWTrBD4Cu4RluM+EX3/9lQEDBnDixIlc6RkZGXh6ejJ37lxWr14t7HgrQrS0tOjevTsaGhpIJBLFRxV9+vT5yNYJfC7k9J03+9jbu7TEYjHdu3dHS0urJEz87BGJRHh5eXHo0CF27dqFh4cHL1++VMo3atQounTpQmJiYglYKVCciGQymaykjRD4MIKDg3FxcSErKwtdXV2uXLlCtWrViI2NpWvXrty8eZOdO3fSrl27kjb1s+PUqVO0atXqnXmMjY2JiopCQ0NY9RYoPFlZWVhaWhIbG/vOfKdOnaJFixYfyaovl7t379K5c2ckEgn79++nTp06AKxatYrRo0ejpqbGyJEjWbZsWQlbKlCE7BamGD4Dxo4dC8gDTGZkZNCiRQsuXbpEw4YNefr0KVeuXBGEUjHh4eGBmZlZntfFYjH9+vUThJLAe6OhoUGfPn0Qi8V55jE1NaVZs2Yfz6gvmOrVq3Pt2jWcnJxo1qwZe/fu5fz584wdOxaZTIZUKmXlypX4+fmVtKkCRYgglko53t7eHD58WLH8k5WVRVxcHJ06dcLQ0JDLly9TpUqVErby80VNTY1+/fqhqamp8rpEIhGW4AQ+mD59+uS5xKupqcmAAQNQV1f/yFZ9uZiamvLff//Rv39/unfvTrt27XItjaqpqTF48GAhqOVnhCCWSjFSqZSRI0cqDZISiYTExESMjY3fOeshUDT06dOHzMxMldfKli1Lw4YNP7JFAp8bDRs2pFy5ciqvZWZmCoK8BBCLxSxYsICyZcuSmZmZSxhlZWVx+/ZtNmzYUIIWChQlglgqxaxevZqAgACkUqnStaysLLy9vZk4cWIJWPZl4ebmRsWKFZXSxWIx3377LSKRqASsEvicEIlEDBgwQOVSXPny5albt24JWPVlk52dTZ8+fYiKilI56yeTyRg/fjzR0dElYJ1AUSOIpVJKbGws06ZNe+c0r1QqZcmSJaxZs+YjWvZl0r9/f6UHmbAEJ1CUqFqK09TUFAR5CTFt2jSOHTuW5/KoTCYjLS2NSZMmfWTLBIoDYTdcKWXkyJH89ddfef6j5qCmpoaamhq+vr7UqlXrI1n35fHgwQMl3zAHBwcCAwNLyCKBz5HKlSsTEBCQK+3evXtUrVq1hCz6Mtm+fTv9+vWjII9PkUikODlBoNQi7IYrjdy/f5+1a9fmKZTU1dURiUTo6+szZMgQbt68KQilYsbFxQUXFxfFG75YLGbgwIEla5TAZ8fbS3EuLi6CUCoBqlatyo8//kiZMmUA3rlTUV1dnaFDh6p0lxAoPQhiqRQyevRolTtfxGIxIpGIJk2asHPnTmJiYvjjjz+oXr16CVj55eHp6an4XSQSCb169SphiwQ+N/r27UtWVhbw2idO4ONTo0YNli5dSmRkJCdPnqRXr15oa2ujrq6uNDZnZWXx4MEDVq1aVULWChQFwjJcKWPfvn107dpV8beGhgZZWVlYWFgwaNAgvv/+e2xtbUvQwi+XJ0+eYGtri0wmo3bt2ty4caOkTRL4DKlTp44ihk9ISIjKzQUCH5/ExET279/Phg0bOHv2rCKyfw66uroEBgbmuatR4JNGWIYrTWRkZCgCUOa8wXTs2JFjx47x4sUL5s+fLwilEqRixYqKXUnCG79AceHp6YlMJqNevXqCUPqEMDQ0xNPTkzNnzvD48WOmT59OpUqVAPksYGpqKj/99FPJGinw3hRJWOGXL1/i4+PD7du3efnyJUlJSUVRrcBbPHz4kKdPn6Knp4e9vT2VKlXCwMCAY8eO8eTJE+rXr4+rq2tJm/lB3L59mytXruDv709cXBwZGRklbVKhkEgkiEQiTp06xYULF0ranEJhYGCApaUlrq6uNGvWDEtLy5I26YP4XMel9PR0RCIRmZmZ9OzZs6TNKRK0tbUxMTGhSpUqn8U4ZmVlRYMGDdDU1OTKlSvcu3ePJ0+esGPHDl68eIGFhUVJm/jZoqamhrGxMXZ2dtSuXZtGjRqhra39wfW+9zJcVlYWO3bsYO3qlVy+6ou6SISDpQFW+hro5e3rJvCeSKQyHkWmUs5IkzK6r29whhTi02U8fJlMUlom5a3LMXjoMIYPH15q/iEjIyNZs2YN69f9xdPwZxjoauFiXQYTHQ20NErX5GdmlpSboTHUdygd9/5NkjOlRCSkE/giDml2Ng3c3PhhxEh69+5dao5rUYxLa9dy+fJl1NXVcXZ2xtraGgMDg5I2r8g4f/48devWLZKHwKdAeno6MTEx3Lt3j8TERCpUqMB3331XqsYxgGvXrrFixXL2/ruXlNRUbCxNsS1rhomBNsggIjaR+KRUXGzLIgR7KB6yZTLiktIJeRFN+MsY9HR16dqtK2PG/MhXX331vtXufi+x5OPjw+hRI3j0MIC2LmXoVsOURnZG6IhL14Ptc0ImgzsvkjniH8vOO7FIZOrM+OV/jB49+p07NUoSiUTCihUrmPXLL2iqZdPbrRKdalfAtYIppTlszOPIJOwsSu+DOS0zi3MPI9jtG8qx22E4V67M8pWrPvmzx3x8fBgzZgwPHz6kS5cuDBgwgBYtWqCrq1vSphU5gYGBODo6lrQZRY5MJuPGjRvs2bOHDRs2kJGRwYwZMz7pcQzg+fPneE2cyNZt26jhWB7PNm60q1+VcmbGJW3aF83z6HiOXfHnn+NXuRMYRr++ffltwYL38RsrnFhKTk5m2NAhbN+xk1bOZsxsXR5b08/jzeZzIk2Szcrzz1h7OYJKFSuxY/eeT25a+/bt2/Tu2YMnT0IZ0cKZMW2qoqNZOmYvviQeRyYx418/Ttx5Sp/evfjzr3Xo6+uXtFm5SE5OZtiwYWzfvp2OHTuyZMmSz1JIfGmkpqYyf/58Fi1aRMWKFdmxY8cnN44BrF27lgk//4SZkR5zhnSio3uNkjZJQAWHL95h2rpDRCeksHDRYn744YfCFC+4WAoLC6NTx/Y8CwliaedKeDiavJ/FAh+NsPgMfj4Ywq0X6WzbsZNOnTqVtEkAHDp0iL59elOrgjG/96tHedNP6+EroMype8/4cYsv1hVtOXj4KOXLly9pkwD5uPT111/z/PlzNmzYQPv27UvaJIEiJjQ0lMGDB+Pr68u2bds+mXFMKpUybtw4Vq5cyYS+rRnfuyXamp/u7JcApGdKWLLjFAu3nWDUqFEsXbq0oAdQF0ws+fv706qFB0Zq6Wzs7UB5Y60Pt1rgo5AllTHlSAg7/KJYsXIlw4cPL1F71qxZw+jRo+jb0IH5vb5CrC4s3ZYWwmKS6b/2PPESdU6e9i7xYIj+/v60atUKU1NTDh06pNh5JPD5IZFIGDlyJOvXr2fFihUlPo5lZmbyTZcu+JzxZs3Pfenc+NOb8RLImwPnbzN80TaaNW/Ovv0H0NTUzK9I/mIpMjKSenXrYKmWzD99nTDQKpAKE/jEWHY2nEU+4ezff6DE3swOHTpEly6dmdixBuPbCYEySyNJ6RL6rj5LRIYY32vXS8z5NjIyEjc3N2xsbDhy5AiGhoYlYofAx2XOnDnMnDmT/fv3l+gM06BBA/l39272z/uBOpUrlJgdAu/PjUdP6TJ5Dd2692TDxo35ZX93nKX09HS6fN0JWUoc63o6CEKpkGR/QLjPDymrih+b2tCvjiV9e/fi9u3bRVt5AfD396d/3770buAgCKWPTHYRxp010Bbzz/dNUM9MokO7tqSmphZZ3QUlPT2dLl26IBKJ2Lt3ryCU3sG7DtouCMnJyUWar7B532batGkMGzaMvn37lsg4BjBv3jw2b97MX179BKH0Dj5k3ElJK/6QMXUqV2DjlG/ZsmUL8+fPzzf/O2eWJk+ezJrlSzk42AUHM50iNfRz5XFMOht9Izj+MJbEdCl1KxgwrEFZGtkZFWvZgpAlldFvawDRamW443//o+0ukUgk1KhWFXP1FHaMbCYsvb0HbjMO4O5kyZL+9QuUP/hlIuvPBnDsdhhJaRLq2ZvzQwsXGjtbFYk9gRGJtF90guGjxzJv3rwiqbOgTJ48WREawNnZ+aN+d2kgICCAVatWceDAARISEnB3d2fcuHG0aNGiQOVv3rzJ5MmTuXbtGnFxcVhaWtK5c2cWLlyYS5gWNF9h8+aHRCKhbdu2PH/+nDt37nzUXXI3btygXr16/Pp9F37o0uSjfW9pISg8inWHznPk0j0SU9OoX8WWEV2b0bSWU75lbweF87/1h7n56CnxyalYmBjQvkF1Zg/9GgPd1xvJsmUyGg9fiFSq/CJQwaoMu2YPK5TNa/efY8of+/H19aVOnTp5Zct7GS44OJiqVVyY0cqGgfWKZoD93EmXZNN67R0iEjP5poYZJjoaHLkfw/PETLYOcKF+xbwHhQ8pWxieJ2TSZNUd5vw6n/HjxxdJnfmxePFipk+ZzIUZHQRn7vdgx+Vgxvxzmf7uDgUSS+kSKR5zj/AiPpVudW0x0dfisN9TnsWmsHN0Cxo4Fs3S2d8+j5i59xZ3793DySn/wbAoCA4OpmrVqixevJiRI0d+lO8sTaSlpVGrVi2ePXtG3759MTU15d9//yUsLIz//vuPJk3e/YC/fv06LVu2RENDg969e1OmTBl27txJQEAAdevW5cqVK6ipqRU4X2HqLAxhYWE4Ozsze/bsjzaOyWQymjZpjCQ+gmOLRikOzRaQk54hofGIhTyPSaBH8zqUMdTl4IXbhEfFs3fuDzSsbp9nWb+AMDpPWoWGujrdmtXCxECPvWdvEhQeRW2nCpxaPg61V/c7PDKOagP+RxXbspgY6OWqx8bcmD8m9i+07R0nrkKqU4aLly7n9bvmLZa+7tSRwBvnOT6sChpqQqcoCL/8F8pfl1+wub8LHo7y+BpRyRJarbmNjliNy2NrF0vZwrLQO4wNN+MJCAoudp+TyMhInBwcGNK4El6dBCfIgvI8LpVFR+7g9yQG//A4gAKLpRl7brD29AO2j/KgRVV5PJGoxHSazT2MjqYG12d3KRIbs7JltJj3Hw4163Pw0OEiqTM/vv76a0JCQvDz8ys1gTI/JuPHj2fp0qUcPXqUdu3aAfJI5q6urujq6vL48eN3lh84cCDbt2/n6tWr1KxZU5HesmVLTp8+za5du+jRo0eB8xWmzsIyY8YMli9fTkBAwEfxnduyZQsDB36Lz4qfqG5vXezfV9qY8sd+Vu/1Yfec72lV1wWAyLgkGg1fgI6WJrc3Tc+z7PBF2/j3zA1OLx+f6952nrSas34BbJw6kC5N5H3n3K1AvvZaxYU1E6hmVzS/w93gZzQbvZiNGzfRv79KsaXaZ8nf359Dh48wtUW5IhNKEw4G8+O+IEJj0/n5QDBfLb5Bj433+fd2FAB/XnpB27V3qLHgOv03PyAkJj1X+YysbBadCaPh735UmnUF92V+eB16THKGNFe+xPQsJh9+jMeq29RceJ0hOx7hHRhXJG3Ij123onCx1FWIHQBzfTFNHYx5GpeBX3jea/UfUrawjGpsjVgkZc2aNUVWZ16sXr0aTbVsxrQpup1T47dcYdSmS4REJTFuyxVqTtlL16Un2eMbAsCaUw9oOe8oLhP20HulN48jcx9zkSGRsuDwbepO34/N6G24zTjAz1uvkpwuyZUvIS2Tidt9aTzrMFW99jDwj7OcuvesyNrxLpIzJARHJmKoI6ZWRdNCld1xOZgq1iYKoQRgbqhN8yrleBqdzM2Q6CKxUUNNxPTONTh0+Aj+/v5FUue78Pf359ChQ/z222/vLZSGDh3Kt99+S1BQEEOGDKF8+fJ4eHiwZcsWAJYsWUKdOnWwsLCgXbt2BAYGKsqmp6czc+ZM7O3t0dLSwtHRke+//17lMSrx8fGMGDGCatWqYWVlRdeuXTl69Oj7NbwQbNy4kRo1aiiEEoClpSVt2rQhJCSEq1evvrP8pUuXqFmzZi5RAzBo0CAAfH19C5WvsHkLw6RJk9DS0voo4xjA/F9/pVeLuu8llMb8voMfFm7l8fNoRi/dQZV+v9Bp4ip2nr4OwKp/fWg6chEOPafRfeofBD+LylU+PVPCvH+OUXPgbCw6/ETtQXMYu2wXyW/59iQkp/HTit3UHzYfp97T6T9rPSd8779/owvBthO+VLUtpxBKABYmBnjUceZJRAzXHz7Js6zv/RCq21sr3dt+rd0AuTN2DsHPohCJRDhYF51Arm5vTa8WdfntHS4FKsXS+vXrsTXXp7lD0cVS8n+RyrmgeLqu9+dGWBLutkZce5rIj/uCGLDlAXNPPqGsoSb1KhhwISSBXpvu53Jynnw4hOXnnuFWyYDprSvSwsmEPbej6Lv5gSLPi8RMWq+5w57bUbhVNKBXLQvC4jP4dutD/rr8osjaoorY1CwS0rJobK/sX2RvKvf3uv1cteD5kLLvg45YjV41yrB+3V9FVqcqZDIZG/5eR2+3SkUacPJeeBw+91/QefEJrj+Owt3JCt/HUYzceJE+K72Zve8m5Yx1cXMw58KjCLovO5XL2XDidl+WHrtHA0dLZnatTctq1uy6+pieK7wVeZ7HpeIx9yi7rj6mgaMFfRrYExaTQv/VPvzh/bDI2pIXTlZGHBjfmgPjW7N2cKMCl4tNziA+NZOmLspL5/YW8qXcW09jiszOFlWtsbU0ZsOGDUVWZ16sX78eBweHXEKgsNy6dYsTJ07QtGlTLl++TPPmzbl48SKenp60b98eLy8vbGxsaNSoEd7e3rRs2VLhJD1ixAjmzp1LkyZNWLhwIe3bt2fz5s20adMm13eEh4dTq1Yt/vnnH5o0acKgQYMIDQ2lU6dO/P777x90D95FdHQ0cXFxtGzZUulazjLp9evX8ywvkUho06YNo0aNUroWFhYGQJkyZQqcrzB1vg+6uroMGjToo/S9q1ev4v/gAcO+Lvj/4pvcDX7GmRuPaP/zCq7dD6WJqyNX/R/zw8Kt9Jj2BzP/Pkg5c2PqV7Pj3K0AOk9anWvM+mnFHhZtP0nD6vbMGtqZ1vWqsOP0NbpOfi0Un0fH03jEQrafuoZ7dXv6tXbj6ctYes/4izX7zn7wPXgXMQkpxCen0qy28nK8g41c1PgFhKksK8mS0qKOM0M7N1a69ixKPtFhYvA6Cv/j59HYmJuQnJ7Bf1f92fzfFa7eD0H6gZsZhnZqxL379/MU7yqfYIcO7KN9ZaMiP3IiMlmCV4sKjGkiV4+dq5sxYMsDLoUmcmZUTexeRQMfuy+I3beiCI1Nx85Um8ysbP69E0ULR2OWdnFQ1FfRRIsZx0J5HCPP9+vJJ4TFZ3B4aHVq2ch9Y35uXp5+m+VirEdNc4x1VD+0Y1Oz2OQbkW8b2lcpQ2UL5eMTgqPTALDUV47XYG8mb1d0ikTp2oeWfV/aVynDqgt3uXPnDjVqFE/E2Tt37vA0/Bmd+hd9/ZGJaUz+uibj2lUDoGvdSvRZ6c3FgJecn9EJe0u5MBi96RI7rzwmJDIJe0tDMrOk7PENoVU1a5Z7NlDUV8lcn6m7rhP8MhF7S0Pm7PcjLCaZ/ya2pbatGQATO7oqxFhPNztM9JR/r9jkDNafDcjX/k61y1O5bNEfhRD0MhEAS0PlDRkOr+5JdFK60rX3RSSCDq7WHDqwj0WLFhVZvao4fPgw3bp1+2BfkYiICObMmcPUqVMB6NOnD+3bt8fHxwd/f3+FsBg4cCCbNm0iKCiIihUrsmXLFjp06JDr4Wxvb8+PP/5IQECAotykSZMIDQ3lypUruLnJ34z/97//0a5dO7y8vPD09FQpEKKjo1m9enW+9nfr1k1ljKtHjx4BULZsWaVrlStXBuTL4nkhFotZsWKFUnpkZCSrVq1CLBbTsWPHAucrTJ3vS7du3fjtt9+KdRwDed+rWNacmo7vH4z1ZVwi0wZ24Oc+rQDo1rw2Pab9wfk7QVz5czIONuaAxoGmOwAAIABJREFUfElq+0lfHj+LxsHGnAxJFru8r9ParQqrf+qrqK9SWTMmrdlLUHgUDjbm/PL3IZ6+jOXUsnF85VwRgMme7eg+dS0z1x2kd8u6uUTHm8QkpLDucP4Hf3du5IpzReUXscBweb+yKqPsW+v4SixFx6s+yFqsoc6Ckd2U0qPik/nr4AXEGuq0dXvd3x8/jyIpNZ3qA2aRlpGpSK/pWJ4/JvancoX3OwC8llN5KpQ159ChQ9SrV0/pupJyiImJITA4hJkNXZQyfyjqaiKGu79eGqhqJf/h3G2NFEIJoGElI3bfiiIgKhU7U22krwT25dBE7r1IoVpZuVPXILey9KltiZaGiPi0LPbdjaamtb5CKAGI1UX0q2PBxZAEjt6PpW8d1VN3MSkSFp1RrXzfxM5UW6VYCo2VP4BUiTFrI3kQz8R0qdK1Dy37vriW08dAR5PLly8X2yBz+fJlDHS1cK1QuGWkgqCuJmJkqyqKv6vayGdBG1e2UgglAHcnS3ZeeUxARAL2loZIX01XXgx4yd2wWKqXlz+0BjerTL+GDmiJ1YlLyeTfayHUqmiqEEoAmhpq9G/kwPlHERy59ZT+7q+Few7RyeksOJz/lmZ7S4NiEUshUfIByVhPOXCsjan8/yYhtWiFdyMnS1ae8CY2Nva9ZwnyIyYmhoCAgCI5n05dXZ0JEyYo/s45QsPDwyOXo3qzZs3YtGkT9+/fx8bGBpCfP+fn50etWrUAGDVqFIMHD1YcaBsbG8u2bduoW7euQigBaGpqMnToULy9vdm7dy9DhgxRsisqKoqZM2fma7+Tk5NKsRQUFASonqmpWFH+8IyPj8+3/jc5fPgwgwcPJioqit9//53q1VWH/ShovsLmzY+vvvoKQ0PDYh3HAC5fukij6nYfVIe6mhpjengo/q5uJ38WNnV1VAglgMY1HNh+0pdHTyNwsDFXzGxeuB3EnaBwajjI++Kwzo3xbFsfLU0N4pJS2X3mJrWdKiiEEoCmhjrftmvAuVuBHLpwB892qn0eoxOSmffPsXzb4GBtrlIshTyXLxu+7XANUN5SPjYnpKTlW38O/131Z/SS7UQnpDDvh2+oYvv6BeDx82iS09KZPrADHd1rEJ2QzPaT19j83xX6/rKO86snoKudb5BJlTSubseVy5dUXlN6Oj94IF/WclYhCD4USwMxYvXXb4U5J8pbGeRuWM7GCEmW/MGmI1bjp2bl+e30U9qsvYOjuQ4NbY1o4WhMUwdj1NVEBEenIZNBSqaUH3bnfrNPfiU0nsTl/UbtYKZD8DS3PK/n8Kb9b6L5Kj0+LUvpWppE3tmNtFXHqfqQsu+LSAROFno8fFh8S0oPHjygcjmTYjkU18pIB02N16vIWhry+2NlnHtGRf2Vz11mlvw+6mhq8HOHGsw7eIsWvx7FycoI98qWtKxmTfMq5eR96WWCvC9lZDF03flc9SW98msKjVL9luRoacTT5X3ytb+4wifk3JP4FOU4JakZ8v5lrPt+A0leOJeTi76HDx/SsGHDIq07h5xxqVq1ah9cV7ly5XJF7M0ROm8frplzDEJmZia6urrMnDmTadOmUbt2bVxcXGjevDnt27enTZs2iryPHj1CJpORnJxMr169ctWXmCif9QsODlZpl7Ozc4HiVuUVbVhLSy6QY2Njla6lpKQAYGJSMNeK4OBgxo0bx6FDh3BwcGDr1q0ql/cKmq+weQuKSCSiSpUqxTqOATy4fx+Prxvkn/EdWJkaoqnxehzXenU0ipVpbvcLNfWcMUv+/6qjpYlX/7bM2XiEJiMXUbmCJY1dHWlVrwot6jijrqZGYHgkMpmMlPQMBs3dlKu+pFT5cy/kRd6+ik7lLYg4uDDfNojFeTzDxHIpEZeUonQtNV0++2Osn7+mCHkRzeS1+/jvij925cz4a5Inzd4KO7Dm575oiTVwqSQXUPbW5rhVscVQT5vlu705ePE2vVvUzfe7VFGlUll8Dl1ReU3lzBKAqW7R7zTRzeNGF+RhOqaJNZ2rmbLrVhTegXFsvhbBJt8I7Ey1+fe7asS9Ehqa6mqI33JKN9HVoGsNM5zM844VJRKBtvj9H2AWrwSfKkGWY5upnup4IB9S9kMoo6Om+L2Lg5iYGMyKwW4AXS3V/VOtAJ1pXLtqfPNVRXZeecype8/YdC6QDWcDsLc05MD4VsSmyP+5NTXUlERNGT0tutezVQiEt5H3o5IL3mrxavktNFrZxy1HQJkaFO1xRWav6ouOLhrHcVXk9FNzc/N8cuaPnp7y2y+Q7/b1qVOn0rt3bzZt2sTRo0dZu3Ytq1evxsnJibNnz2JlZaWwU0tLSyn+j6mpKf369cvzmBiRSISOzvvHs7Oykr/xq9rxliOgCnL/tmzZwvDhwxGJRCxYsIAxY8YohNj75Cts3sJibm5erOMYQExsHGbGHxb2RE9bdXvVCrCJ6uc+rejWrBbbT17jhO991h++yLpDF3CwMefIotHEJspFiqZYA7HGW2OWoS49PeqonBHKQSQSoa31/mO15avlt9AXyr9DXJL8BcDU6N33b+fp64xfsRsRMGvI13zfpQlaYuVxPq+l0Nb1qrB8tzcPQvN3p8kLU2M9omOUXzZAhVjKyJAPqJoan07gQIlURppEio2xFhM8yjPBozyRyRKWnwtnw9UINlx9wTc15IOArak2K7rlPnFcmi0jJVOKzjseYpHJEn4/G56vLb1rWVCjnPJga2eqjUgET+OU3+jvR8g78pvLg0VV9kPQUpfv8CkuMjMz0fzEAlBmZmWTJsmivKk+Xp1c8erkSmRiGkuP3eNvn0esO/OIbvVsAbCzMGT1IPdc5aXZMpIzJOio+CcGuS/V4qN387Wjb0MHXCsU/ZKVvaUhIhE8USGW/J/JnSVrVzJTuvYh5LwtF2dfyhmXiuoBW1gyMzNJTU2lUqVKzJo1i1mzZhEREcHcuXNZuXIlK1asYO7cudjZyZdqHB0dFTvscpBKpSQlJaGrq/oNOyIigtmzZ+dry3fffacyeJ6TkxMikUilWMqJdv3m0qAqDh8+jKenJw0aNGD79u1UqKA6QnVB8xU27/ugra1drH0PICMzE80SegnKzJKSlp5JBcsyTPFsxxTPdryMS2TxtpP8efA8fx44Tw8PeX+wtzbnT68BucpLs7NJTs1A5x1LUy/jElm49US+tvRv46ZSrDhYmyMSiQiNUBZL94LlO4jfXB58m/+u+vPDwq3Uc6nE35M9sbFQPQP6LCqeG4+eUNupglKeHKFm/gGiVkusQUZmpsprpSJQyYWQBPpvfsDyrg50c5WLIgt9McPdy7HhagTxaVnYltHGVE/M2aB4sqQyNN5YLlt5/hkLvMPYN7ga9SoYqPyOxPQstt14ma8tDSoaqhRLlgaa1K9oyJUniTyJTadiGfnUfpZUxr470VgZalKjrOof8UPKChSOC48i6L3Sm9WD3On+ShRZGOowslUV/vZ5RHxqJrbmBpjqa3Pm/nMk0uxcs0vLjt9j/sHbHPqpNW4Oyv5vCakStl4MyteOho6WxSKWrIx0aOBgyeXAl4RGJVHJXN7fJdJs/vUNpayxbrH4kH3ueHt7065dOzZv3qyIw2JlZcWECRNYuXIlcXFyIerg4IC5uTnHjx9HIpHkml2aN28e06dP5/z58zRqpLyrKj4+nnXr1uVrS9OmTVWKpXLlytGkSRPOnTtHcHAw9vbyIIASiYRt27ZhbW39rgjFAEyZMgUjIyP27Nmj0lG8sPkKm1dAmXO3Aug+9Q/+mNifXi2+AsDSxJAxPTz48+B54pNSsStnjpmRPqevP0SSJUX8xnLfkh2nmLvpKP8tHkP9aqr9rhKS0/jn2OV8bXGvYa9SLFmZGtGwuj0X7wYT8iIa27LyFzJJlpTdZ25Q1syImo42edY7a8NhDPW02TR9kEon8RziklLwnL2Bge0b8vuPPXNd23vWD4AG1fIOfvkhlAqxVLe8AWZ6YpaeDaeckRbVrPQIiU1n+Tn5TFBLJxPE6iImt6zAzweCGbU3kJGNrDHQUuf4w1h+P/eMJvZG1C2vWiiB3GcpdEbBjpLIi9FNrPHc8pDvdwUwpqkNxtrqrLrwnKdx6Wzq56JYbtxy/SVTjoQwrqkN45rZFKqswIdRz94cMwNtFh25Q1ljXaqXL0NIVBJLj8lng1pVt0ZTQ41pXWoybssVRmy4yOjWVTHQEXPsdjhLjt6jqUtZ6tmr3ijgaGVI+Iq+Kq8VB/9cCMRruy8/ta/Bzx3kjrJj21Wj70pvhqw7z7i21TDS02LFcX+eRCezdWRzoS+9B+7u7lhYWDBr1ixsbGyoVasWQUFBzJ07F4AOHToAcn+iefPmMWTIEPr374+XlxeGhoYcOHCAOXPm0KpVK9zd3VV+h7Ozs2IG7X2ZMmUKHTp0oGfPnkydOhUTExN+++03Hj9+zOHDh3PtJPzzzz8ZMWIEM2bMYMaMGcTFxXHv3j1q1arF4sWLVdbfrFkz3N3dC5SvY8eOBa7zQ3bEfe7Ur2qHubE+C7Yex9rcmBr2Njx+HsWi7ScBaO1WFU0NdWZ+15HRS3cw7LctjO3VAgNdbY5evsuibSdoXrsyblVt8/wOp/KWRB5R/fsUlJ96t6Tn9D8ZOGcjP/dtjbG+Dr/vOk3oixh2zh6m6Hsbj17ipxV7mNi/DV792hCfnMqD0Ahq2Fuzcs8ZlXU3cnWgrVtVqtqWo55LJTYdu0wZQ106ubuSLZOx6/R1vG885OtGrsV2Xl+pEEv6Wuqs7O7Ij3uD6L7hdfA7LQ01vFpUoIWTfDquT20L0iTZzDnxhEP35FNyGmoi+tSxYFKLCsX+kGhqb8zyrg78fDCYoTvk23gNtTWY2bZSrmCTIF/Okb1nWYH3R19bzNrv3Bm18RLfLD2pSNcSqzOlc01aVZOHtejn7kBappT/7bvJgRvyYGoaaiL6NXJkytc1PxnBIZPl9KXXvamZS1lWDXJn3JYrDPrzHABGOprM6l4nV6BKgYJjYGDA1q1b+fbbb2nevLkiXVtbm7lz5yrEEsDgwYNJTU1l4sSJ7Nq1CwANDQ2GDBnC3Llzi/WYjNatW7N582aGDBlCt27y7djGxsYsWbJEKT6VTCZDKpWSc4jDxYsXkclk3Lx5k5s3b6qsP8f2guTr2LFjgesUxFLe6Oto8dckT35YuJWOE1Yq0rU1xUwf2IE29eS7gge0rU9qRiYz1x1i3zn5LIuGuhqebRswfVCHYj+exaOOM39M7M/opTsYMGs9AEb6Ovz6fZdcgSrlY1a2ot9d8Q9BJpNxOyic20GqXWFEIhFt3aoiEonY+ssQRi/dzpIdp1iy45Qiz+CO7swdVjSnE6i04e3jTnbt2kWvXr149r8P8/wvDtIk2Tx4mcKz+EzK6GlQ2UJXpQNxcoaUexEppGZKcbbQo5xR0e7+yY+sbBl3nieTLYNa1vqKHVnFXbawfL8rAJ0qHooBvajp2bMnGcG+rBuqHGyspEnLzOL+s3jCY1Moo6+FSzljzAy0lfIlp0u4GxZHSoYEF2sTrE2KfpdocZGVLeP2kxiyZTJqVzIr1r5kMXwLO3fupGfPnvlnfg9yxqV3nPv9UUhNTZXHD3v6FDMzM6pVq5bnURtJSUn4+fmRnJxM9erVKV/+/WP0FJasrCyuX79OdnY2bm5uit16nyM5fa64xjGQP6w3TP2Wb5rUKrbvyI+0jEzuPX5OeFQcpob6uFQqq9I/JzktgztB4SSnZVDVthzW5h/3ZTtLmo1fwFOyZTK+cq6IeiHP/SsoYZGxBIZFYqSvS+UKlujrfLg/475zfgyau0nVOLO7VMws5aAjVqO2jQG18176BOQzUUV18Oz7oKEmorZN3kt+xVVWoODoaGpQx9aMOrbvdnbW1xYX2cGzHxsNNVG+7RMoHLq6utSvX5/69fNfsjcwMMj34NriQkNDo0A2CpQedLQ0qetSibould6ZT19H652H1hY3Gupq+dpYFJS3KEN5i+KJ66aKT2urkoCAgICAgIDAJ4YglgQEBAQEBAQE3oEglgQEBAQEBAQE3oEglgQEBAQEBAQE3sEXLZa8A+M4cLf4jmgQ+DI4de8Z+66HlrQZH0RKhvK5hAKfFkePHmXHjh0lbcZ7k5WVhVRatAeCCxQtJ3zv86+P6hAPpYWUtA+LVZYXpWo3XFGz+sJzQmPT6Vy99O4Ycl/mR0NbQxZ+XXK7H750Vp64T2h0Et98VamkTSkUd57GMme/H7eexBCfmom5oTbtapRnZrfaGGgXz5l+Au/PggULCA4Opnfv3iVtSqHYunUrq1atws/Pj6ysLOzt7Rk1ahQjRozI9zw+gY/Lst3ehDyPpluz2iVtSqG4HRTO/9Yf5uajp8Qnp2JhYkD7BtWZPfRrDHSVQ8K8D0JPLcXs8osiNLZ4z0QS+Dy59SSGrr+f5PbTWLrWteWn9tUx1NHknwuBdP/9FNklHM9I4PPgn3/+YcCAAcTFxfHjjz8yYsQIkpOTGT16NL/++mtJmyfwGeAXEEaniSu5FRhGD4/aTOzXBkM9bTYevURnr9VFNpZ90TNLpZEXiZks8Qnj1rMUxSG7AgKF5W+fR6RLpPzn1ZpqNvII+F6dXOm27BTnH0Zw2O8pX9fO++BLAYGCsHjxYhwdHbl69SqGhvLYd15eXtja2rJq1SqmTZtWwhYKlHb+PHie9AwJp5ePprq9/ASGKZ7t6DxpNWf9Ajh4/jZdmtT84O8pErGUkZXNivPP2Hs7mueJGVgbadHIzojprSuir/U6cuzl0EQO+cdwLjiedEk29Soa0qCiIX3rWOSKLjzhYDCZUhnjmtqw8vwzfILisTXVoXctc7q5mvPnpRfsvRPF88RMapTVY3Z7W2xN5VNtP+wOoIqlHg1tDVl35QUXHydgpieme01zhrtbk18Q48T0LOadesrVJ0nEpkr4qrwBfetY4OH4+oTjgra3OEjOkPI4Oh1DLXVqWutz65ny6fKlmQyJlGXH77H7aggv4lOxNtGjcWUrfulWG/03loYuBrzk4M0nnH3wgnSJFDd7Cxo6WtC/kaOiL43fcoVMaTY/ta/O8uP+nLn/HDtzA/q6O9C9ni1rTj3g32shPItNxbViGX7tWRc7i9cBQYeuO09VGxPcnSz50/sh5x9FYG6gTc/6doxsVQW1dxwfkJCWydz9t7gcGElsSjp17czp7+5Ay1fHqRS2vUXNtcdRVLMxUQilHPo0sOf8wwhuhsZ8tmIpPT2defPmsWXLFsLDw6lQoQIeHh4sWrQIA4PXv7+Pjw+7d+/m5MmTpKWl0ahRI5o2bcrQoUNzRcQeOnQomZmZTJ8+nfnz53P8+HEcHR357rvv6N+/P0uWLGHr1q2EhYVRp04dli9fjqOjIwC9evXC1dWVZs2asWzZMry9vbGwsMDT05MJEybku0wVHx/PlClTOHfuHNHR0TRs2JAhQ4bQvn37Qre3qElISODevXuMHj1aIZRAfuCvh4cH3t7eSocNfy6kZ0pYuuMUO72v8zwqHhsLE5rUdGLOsM5KkaYv3Ali/7lbnLn5iLQMCQ2q2eFew55v2zVQRL8e8/sOMiVSJvZrw9Kdpzh9/SH21ub0b+NGrxZfsepfH3Z5X+dZVDw1Hcvz24iu2FubK75j0NxNVLMrRyNXB9buO8e52wGYGxnQu1VdxvTwePdYlpzGrA2HuXg3mNjEFOpVscWzbX1avzpm5X3aXJT43g+hur21Qijl0K+1G2f9Arjx6OmnI5YmHw5hz+0ourmaUc3KiidxGWy98ZIHL1M5OKQaAJdCEuj9zwMMtNT5poYZZXTFnAuOZ9LhxzyJS2da69cDs/+LVF4kZnA+OAEjbXXcbY04cC+ay6EJ7L8bzbngBDwcjbEx1uJUQBy9Nt3nyrjaqIngwuME7jxPYfXFZ7hXMqL/V5acDUrg15NPCYlJZ1HnvH17XiRm8s3f94hJldDd1RxDbQ18guL5dutDZrSpxNAGZQvc3uLC0VyHf7+rCkBobDruy/yK9fs+NhO3+7Lr6mN6uNlRvbwJoVHJbL4QyP3n8Ryd0AaACwEv6bHsFIY6YrrWtaWMvhZnH7xgwnZfQqOTmdlVvt5+LzyO53GpnHvwAiNdTdydrDhwI5SLgS/51zeEsw9e0LKaNTZl9Dh17xndl53i+pwuioHj3MMIbj+NZeUJf9ydrPBs5IjPgxfM3ufH48gklvZXHSH5eVwqnRafICY5nZ5udhjqiDlz/wX9V/vwv+51+N7DuVDtLWok0myaVylH7UqmKm0HMNH9uEcEfUxGjBihWB6qVasWwcHB/PXXX9y9e5dLly4BcObMGVq1aoWRkRF9+/bFzMyMkydPMnz4cB4/fsyCBQsU9d26dYvw8HBOnTqFsbExzZs3Z+fOnfj4+LBt2zZOnjxJ+/btqVixIkeOHKFly5aEhISgpqbG6dOnuXHjBgsWLKB58+YMGzaMEydOMGnSJAIDA1m3bl2e7QgPD6dx48ZERUXh6emJkZERx48fp1OnTixevJixY8cWuL3FgYaGBufOncPOLvdJ9wkJCdy5c4fWrVt/lkIJ4KcVe9hx6hq9Wn5FDXsbQl9Es/HYZe6HPOfE72MV+c7fDqTLpDUY6mnTo3kdyhjp4XPzEeOX7yb0RQyzhnwNwN3gZzyPSsDHLwBjPR2auDqy9+xNLtwJYs+ZG5y5+YhW9apQ3rIMJ67603nSau78M0Mxlp29FcCtwDCW7T5NY1dHBrZviPeNh/zy9yGCn0WxYpxqP7jn0fG0Hb+c6IRk+rSsi6GeDqdvPKT3jL+Y+30Xhn/TtNBtLkokWVJa1HGmtrPy4bnPouIAMDEomiOqPlgsZWZl8++dKFo4GrO0i4MivaKJFjOOhfI4Jh07U232341BXU3E5bG1MNSWf+3IRuWo/7sfJx/F5RJLAJHJErxaVGBME7la7FzdjAFbHnApNJEzo2pi92omaey+IHbfkvvu5KQ9iU3nl7avxc0ED+i16T47/CLxrGtFjXJ6Ktvy68knhMVncHhodWrZyM/c+bl5efptfsDck0/oUdMcXbFagdqritjULDb5RuR7T9tXKUNli9JzBllRkZklZY9vCK2qWbPc8/XZhJXM9Zm66zrBLxOxtzRk37UQ1NXU8J3dBSMd+UN9TOuqfDV9PyfuhivEEkBkYhqTv67JuHZyEdu1biX6rPTmYsBLzs/ohL2l/I139KZL7LzymJDIJEUaQGhUErO61+GHFvKDICd97Ur330+x7VIQA5s44VpBOdz+nP1+hMUk89/EttR+ddzIxI6u9Fnpzex9N+npZoeJnmaB2/s2sckZrD8bkO/97FS7PJXLKp8LJVZXY16vukrp0UnprD/7CLG6Gq2r53OmUCklIyODLVu20KFDBzZs2KBIt7e358cffyQgIAAnJye2b9+OhoYGwcHBGBvL76GXlxd2dnYcOnQol1gCiIiIYM6cOUydOhWAPn360L59e3x8fPD398fJyQmAgQMHsmnTJoKCghRpwcHBLFmyhHHjxgEwe/ZsWrZsyfr16xk+fDh16tRR2ZZJkyYRGhrKlStXcHNzA+B///sf7dq1w8vLC09PT/T09ArUXlVER0ezevXqfO9pt27dqFq1qlK6np4e7u7uir9///13njx5wpEjR5BKpUyePDnfuksjGZIsdnlfp7VbFVb/1FeRXqmsGZPW7CUoPAoHG/msz54zN9FQV+PWxukY6esAMLZnC2p+O5v/rvgrxBLAy7hEpg3swM99WgHQrXltekz7g/N3grjy52RFncMXbWP7SV8eP4tWpAGEvIjm1++7MKJrMwCmftuezl6r2XL8KoM7ulPTUfnswl/+PsTTl7GcWjaOr5zlz+jJnu3oPnUtM9cdpHfLupgY6BaqzW8Sk5DCusMX8r2nnRu54lzRSildrKHOgpHdlNKj4pP56+AFxBrqtHVT7pvvwweLJekr36nLoYnce5FCtbJyITLIrSx9aluipSFXtsMaluU7NyuFUALIlMow0lYnMV15O6m6mojh7q9PSK9qJRcP7rZGucRIw0pG7L4VRUBUqiLdUFuDIfXLKvKoiWBME2suhSRwNjhepViKT8ti391oalrrK4QSgFhdRL86FlwMSeDo/Vi+qWFWoPaqIiZFwqIzYXlez8HOVPuLFEvS7Fennwe85G5YLNXLy4XI4GaV6dfQAS2xfOnjhxZVGNLMWSGUADKl2RjpaJKYlpmrTnU1ESNbvZ4urvpq2alxZatcQsTdyZKdVx4TEJGQK91IR5PvPV6fmK0mEjG2XTUuBLzE5/5zJbEUl5LJv9dCqFXRVCGUADQ11OjfyIHzjyI4cusp/d0dCtzet4lOTmfB4dvvvJcA9pYGKsWSKk7cfcbYzZeJSU5nTo+vcLH+uIdvfixytq77+Pjg5+dHrVryg1FHjRrF4MGD0daWjyHjx49n9OjRCqEEkJmZibGxMQkJCUr1qqurM2HCBMXfrq6uAHh4eOQSI82aNWPTpk3cv39fkW5sbKyYBQJQU1NjypQpnDlzhhMnTqgUS7GxsWzbto26desqhBKApqYmQ4cOxdvbm71799K3b98CtVcVUVFRzJw5M8/rOTg5OakUS28zdepUUlPlM5dVq1ZFR0cn3zKlkezsbAAu3A7iTlA4NRzkLx7DOjfGs219tDRfPwNHdmvG952bKIQSyGdLjPR1SEjJvXlHXU2NMT08FH9Xt5M/H5u6OuYSIo1rOLD9pC+PnkbkSjfS18k1E6QmEvFTn1acvx2I941HSmIpLimV3WduUtupgkIoAWhqqPNtuwacuxXIoQt38GxXv1BtfpPohGTm/XMsz3uZg4O1uUqxpIr/rvozesl2ohNSmPfDN1SxLZt/oQLwwWJJR6zGT83K89vpp7RZewdHcx0a2hrRwtGYpg7GCv8RBzMd4lKz+OPSc24p9hnJAAAgAElEQVSEJRMWn05ITDpJGVIsDZSn/C0NxIjVXwsPLQ352q3VW3lzlvQlWa893u1MtXl7CbayubwzPslj91hwdBoyGaRkSvlhd+639uRXYu5JXHqB26sKBzMdgqe55Xk9hzfb/SWho6nBzx1qMO/gLVr8ehQnKyPcK1vSspo1zauUU9xbRytD4lIyWH3qAdcfRxEWk8zjyCSS0iVYGeUegK2MdNDUeO33oaUhFyBWxrnz5dSdmZWdK93OwkC5L70SIKHRyv5iwS8T5P0oI4uh687nupaULpGXi0oqVHvfxtHSiKfL+6i89iZi9fw3u4ZGJTF9zw2O3wnH1tyAtd+508S5aAaXTxFdXV1mzpzJtGnTqF27Ni4uLjRv3pz27dvTpk0bhS+Ss7MzMTExLF68mMuXLxMaGkpgYCCJiYmUK1dOqd5y5cqhqfl6bMoRIW/nzak/M/O1qHd0dET0VifLER/BwcEq2/Ho0SNkMhnJycn06tUr17XExERF2YK2VxXOzs4KcfMu3mz3u0hJSSEwMJALFy4wZcoU3NzcePr0KVZWBXsIlhZ0tDTx6t+WORuP0GTkIipXsKSxqyOt6lWhRR1nhR8SgFN5S2ITU1j57xl874fy9GUswc+iSEpNx8rUKFe9VqaGaGq8/r20NMWv0nPnU1PPGctyx06zL2eu1M9yBEjIC+V4g4HhkchkMlLSMxg0d1Oua0mp6bnKFabNb+JU3oKIgwtVXnsTcR4vjm8S8iKayWv38d8Vf+zKmfHXJE+a1VI9a/o+FEnogDFNrLn0Yy3GNrVBR6zG5msReG59SPOVt4hMlj8g1lx8Tp3FN1h6NhyJNJvGdsYs/caBuhVUOxjq5nFz3uGHpsBCX3kdXEdTXp+Whuomx6XJO5amuhpiNVGuj4muBl1rmOH0SnAVpL152a4tVsv38y7B9bkzrl01fGd15qf21dHRVGfTuUD6rTpD41mHiExMA2DVyfvUmLyXJUfvkCXNpolzWVZ825B69srTvLpaqt8H3uXQ+CaWRspvvzl1amko99HYFPlDUFNDDbF67k8ZPS2617PFudzr2YqCtPdt5P1IPd9Pfv1oj28Izece4WLAS2Z2rc35GR0/a6GUw9SpUwkKCmL69Ono6uqydu1aOnbsSNWqVYmIkC+TL1y4EBsbG2bPno1EIqFly5Zs3Lgx17LSm+jpqV7aL0gcobJlle95Tn15zfzExMQAoKWlhVgszvUxNTWlX79+CsFVkPaqQiQSoaOjk+8nL8Elk8kUMw45ODo6MmjQIObPn49EIuHo0aP53p/SyM99WuG3cRoT+7VBR0uT9Ycv0mv6n9QfNo+XcYmKfMt3e1Ol3y8s2HociVRKs1pOrPm5L/Wr2irVqaet2klarYDPC0tT5SV9PW250NVWMfMTmyjfba0p1kCsoZbrU8ZQl54edXLN9hS0zW8iEonQ1hLn+8lLbOWw8/R1Gg1fyIXbQcwa8jWX/5xUpEIJimBmSSKVkSaRYmOsxQSP8kzwKE9ksoTl58LZcDWCDVdfMKR+WX49+QRTPTEXxtTKtWNs+bnwDzVBCVWxh8Lj5VE97c1UT/1WMJEPSram2qzo5pjrmjRbRkqmFB2xeoHa69VC2dkM5H5Yv5/Nv729a1nk6Vf1OZOZlU2aJIvypvp4dXLFq5MrkYlpLD12j799HrHuzCO+b+HM7H1+mBpocfV/nXPtGFt67G6R2xTyahboTcJi5DNKDir8iSqayZdw7SwMWT0o94NVmi0jOUOCjlj+b1eQ9k7prLyLIzIxjcVH829r34YOKn2qQL7sNnLjRb6yNeePwY2wKfNl9LfMzExSU1OpVKkSs2bNYtasWURERDB37lxWrlzJihUrGDt2LJMmTcLc3JzAwMBcO8bmzp1b5DYFBQUppYWGhgJQuXJllWVynKYdHR3ZsmVLrmtSqZSkpCR0dXUL1N682hQREcHs2bPztf+7775TuVQ4f/58pkyZwpEjR3LtzgMwM5MvUYeF5e+WUNrIzJKSlp5JBcsyTPFsxxTPdryMS2TxtpP8efA8fx44z/SBHYhOSOaXvw9hZqzPzQ3Tcu0YW7T9ZJHbFfJMefbo6ctYABxsLJSuVSor3wBib23On14Dcl2TZmeTnJqBziuxVdA2v83LuEQWbj2Rr+3927ip9KkC+bLbDwu3Us+lEn9P9sTGwkRlvg/lg2eWLoQk4DLvGvvfODbEQl+s8DeKT8siPCGDbBm0cymTSyg9T8jEPyL/ad7C8jhGvsT3Jjv9IoHXvk9vY1tGG1M9MWeD4smS5g5itfL8M1zmXcPvWXKB2psXielZbLvxMt9PXkuFnzsXHkXgOH5XrqNDLAx1FD5H8amZhMWkkC2T0aFmhVxC6VlcKvfC44rcpuCXiTyOzC2Ytl+SL41UK6/8T2lrboCpvjZn7j9HIs39Vr3s+D0cx+/CL1TedwrSXlUkpErYejEo30+oCqGXw9wDfhhqa7J+WJMvRigBeHt7Y2Jiwvbt2xVpVlZWCn+juLg4njx5QnZ2Nl27ds0llMLCwrh161aR2xQQEEBgYGCutBxn7Jo1VW95dnBwwNzcnOPHjyOR5J7NnjdvHiYmJvj6+haovXkRHx/PunXr8v3ktVRYvXp1AE6eVH7w//XXX8Br367PiXO3AqjYbTJ7zrw+NsTSxFDhbxSfJH/mhb2MI1smo5N7jVxC6VlUPHeDnxW5XUHPIgl+FpUrbcvxqwDUsFfe0GFXzhwzI31OX3+IJCu3X/GSHaeo2G0yNx8+AQre5rdJSE7jn2OX8/2oWibMYdaGwxjqabNp+qBiE0pQBDNLdcsbYKYnZunZcMoZaVHNSo+Q2HTFjFFLJxPsTXXQ01Tn4L0YPBxNcDDT4drTJBZ4P0VfS/3/7Z13WFTH14BfYOm9VwsdVKxBsfcao9EYe48l0fiZYjQmMbH+bLHEEhNjjBoLdhFFjS323hANSJeiSIelb/n+WFkk7MLSbNn3ee7z6L1zZ+7cHWbOPefMOeQWiolMyVOq9aksYqmU8btCmdm1Li6Wehz7J43frz7hvUaWtKpXVhsAMj+h2d3qMiMgkk8PhDO1nSPGulqcCE1j9fkEOria4lvHmJxCcYX9VYablT4x3yvebq4GWrpaY2Wsx49Hg7E3M8CnjgXRydlyjVF3H0fcbE0w1BUQcCuGrg0dcLcz5XrkM5YE3sNYT5ucAhERSVkKtT5VQSyVMuaXv5ndrymutsYcuRPHb2fD6N+iHn5uZb/GdASafPd+Uz7ffpUpf1xiWo+GGOtrc+xePCuDQujobU9LVxuV+6sIdzsT4tcOV3hNFTJyCwlNzMCnjgUbTj1UWKaNhx09lLT/JtO2bVtsbGyYP38+Tk5ONGvWjIiICLl25d1338XT0xMjIyN2795N79698fLy4tKlS8yZMwcTExOEQiFhYWFKtT6VRSwW8/7777Nw4UI8PDw4cOAAa9asYfDgwbRv317hPTo6OixevJgJEyYwcuRIZs2ahYmJCQEBASxcuJDu3bvTtm1bhEJhhf1VhpeXFwUFVc+z1adPH3x8fFi7di1mZmb07NmThIQE9u7dS2BgIL6+vvTt27fK9b+u+DV0wdrMiGU7TuBobUZjVyeiEpPl2qIez3dnudexwVBflwPn7tDdtwHudWy49iCahVuDMDbQIyevgPD4Z7gr0PpUBbFEyoi5v/Pd2D64Odlw+OI9fj10ngEdmtG6kUuZ8joCLX4Y35dpq/yZtHQ7nw3pirGBHkFX7vPjzr/o3NyTVs/Nhar2+d941LHl2dEVVe5ThjCXf2Ke0tjVkXX7zios066JW43siKu2sGSkq8W6Qe5MPxDBoD8eyM/rCjSZ1bUuXZ8LDyvfd+WLQ5GM3RkKgJm+gHm96qOvo8lnByPosv4esT/UjCDRztkUOxMdJu0O4/mGI1rXN2Hxu2UHxIsMa25DXpGEhX/FEhgi8wkQaGowrIUNX3eti4aG6v1VU3mM9LT5ZXxbPt1ymQGrSr5GdbW1+KZ/U7o/D+j40+jWTN92hVEb/gbA3FCHBYPewUBXwKdbL9NhfiCJ60fUyDO197TH3kyf8RvPy8Pmt/WwZdmwlkrvGdHWjbxCMfMO3ibgluzLS6CpwYh27nzTr6nc707V/tY01yOTkUplueGCH6cpLqSh8VYKS8bGxuzYsYMxY8bQuXNn+Xk9PT0WLVokFx42b97M+PHj6ddPtnXbwsKCVatWYWhoyJgxY2jUqFEZjU5V6dq1K46OjgwaNEju49OpU6cKt+1/9NFH5ObmMnPmTPbs2QPIYhtNmDCBRYsWoaGhoXJ/awNNTU0OHTrEyJEjmTt3LnPnzpVfGzhwIGvWrEEgePuSSBjp6/Lb16P5ePkO+n61Tn5eT0ebOWPfpefzYI5G+rqs/2IYU1fuYugPMk2bubEBiz8egIGeDh8v30HrSUtICVpZI8/Vsak79lZmjF7wh3wua9fYjRXTBim9Z1QvP3ILCvlhUyAHz8ti+gm0NBndqzVzxr0rdxhXtc81zdUH0UilUu5FxHMvQrGLi4aGRo0ISxpSaenEKXv27GHIkCEkzGut7B6F5BVJ+Ccph4SMQiwMBXjaGGBlWNrROj1XRMjTHGyMtPGwNpAvGum5IjLzRdS3qH7Cu0ZLb9DUwYjto7zJzBNxLzEHOxMduXO2KggLxIQ8zSG3UIyXjSEOpmV3e6jS39edyXseod+gi3yirWkGDx5MQeR1Nk1U/HWsjLxCEQ8TMohPy8HCSBdvBzOsjEuPjfScAu7HpWFrqo+HnVnJWMopICO3EGfr6kcm9pyxl2b1LfH/tAsZuYXci03FzswAT3vTim8GhPlF3I9LJ6egCG9HcxzNFZuAVenv647NJ9vZvXs3gwcPrpX6i+claQ3lecrNzSU4OJjHjx9jZWVFo0aNsLEp/QWfmprKnTt3sLe3p0GDBvKFITU1lfT0dNzc3BRVXSmsrKzw9fXl2LFjpKenc/PmTRwdHWnQQPXFJTs7mzt37iAUCvHx8aFOnbK+Har0t7aQSCRER0cTGhqKvr4+np6eODrWnCBePOZqax4D2YL7x7djGNChmcr35BUUEhKVSHxyOpYmRnjXt8fazKhMubSsHIIjE7CzMMGzrq18nKVl5ZAhzMPFofqJ3l0+/JbmHnXZt2gyGcJc7jyKw97KFK+6qu1EFOYVEBwRjzCvgIbODjhaKw4tomqfX1cOnr/DuEVbFc0ze2tMrNfX1qS5kzHNy4llZ24goL1L2YXG3ECAuUHNf2GY6gvo4KrawvYiRrpa+Ckx1xWjSn/VVA19HQEtnK1o4ax8kjA31FW4c8vcUBdzw5oPrW9moENH78rtFDPS06a1e8ULkir9VVOzGBgY4Ofnh5+fcm22paUl3bp1U3je0rJs9PPqYm5uTvfu3St9n7GxMR06dCi3jCr9rS00NTVxdXXF1VV59oS3EX1dHXy96+PrXb/cchYmhgp3blmYGGJhUvP+hGZGBnRuXjkTspG+Lm18Kv79VO3zm0iNhA5Qo0aNGjVq1Kh5W3nrhCVbIx0s3jBzmJrXE1tTfSxqQUulRk0x9vb28m30atTUFrYWJlia/nd2vdYGb5133empb99WVDWvhvNz3r6dOmpeL+7fr/nYYGrU/Jsrv8561Y/wxvPWaZbUqFGjRo0aNWpqkjdCWDoTnk7AfeVBqf4rSGpmI9B/mlMhCaWCQL6JSKXKA1aqiqSGdpX9lwgKCsLf3/9VP8YrQyQSyRMR11TZytSppjR/XX/I/r9vV1zwDUCYVyBPr/K68kaY4X6+mEhMWj79fd4s2/7FqEzmBEWXW6axgxE/DVS+BTkqNZ8t159yIjSNrHwxvnWNmdTannYKdhWqqZh1fz0kJiWbAe/Uf9WPUmkycguZf+A2+65Hk18kxkhPm64NHVg6tCUWRhX7VkUmZbH53COO3YsjO6+Ilq7WfNzVm/Zeb1ci09pi2bJlREZGMnTo0Ff9KNXC3d2dTp06yaNoV8SOHTtYv349d+7cQSQS4erqyqeffsqUKVPK5L5TtWxl6lSjmJ/2niE6MYUPOjV/1Y9SLdKycmjz8TJMDfW49tvscstKpFLaf7Ic8b+yIwDUtbNgz4JJtfWYb4Zm6U1FQ0MWwEvRIZbCo+Q8sguUf1XlF0kYuzMU/9vP6ORmxhhfW6JT8xizM5SrsYoTE6p5OykUSRi27gw7LkfwQUtnVo30Y+A79Qm4FSsPzlke+UViRm34m52XI+jSwIGxHT2ISs5mxM9nuRL+rPY7oOa1YMuWLQpz0Slj27ZtjBo1ivT0dKZPn86UKVMQCoVMmzaN//3vf1UqW5k61bz9fLrSn6epmSqVTUzO4EF0IppaGliaGZU6zI0Vx7GrKd4IzdKbSltnU05+0ljhte+CoskuELPkPeVRxZecfkxkSh5/jvSmi7ssCNhHfvZ033CPzw9GcOWzN/uLQo3q7L4axa3oFOZ+0IIp3bwBWaRwDQ3YeiGcu7GpNK2nPPbP/wLuEpGUxa5Pu9C1oSyP4aTOXnRadIRp2y5zc8H7L6Ufal4+8fHxzJs3jxs3bnDv3r1K3btixQrc3d25du0aJiay2HOzZs3C2dmZ9evX891331W6bGXqVPN28/uRS5y++Y/Kgk5UoswdZ+PMkTRyebkZBmpFs/RdUDQDfg/hWXZZv4qZh6MYtu0hRc+T1V6JyeKbo9G0W3OHd1bcYsq+cP68kYS4Aged6QcimLY/vMz5dRcSGPB7CKIX7s/KFzH7SBRd1t+j6fKbTPAP40x4zSddVZWzERlsvf6UdR+4YWOkPMzBnrvJeNsayAUlAGsjbTq6mfE4vYA78cKX8bivjNm7b/Deir9Iyswrc+3LHVf5cM1pCkUl6thLj5KY5X8dvx8CaPrNASb/fpGt5x+VO5ambrnMlD8ulTm/5sQD3lvxV6lxBJCZV8jMXddpP/8IDWftY+yv5zgVUvNJL//NvutRWBnrMaFT6WBy03s1Yv3YNhVG/Pa/EkkDR3O5oARgbaJH5wYOPE4Rcjv67fIJnDZtGu3bt+fJkydlrk2aNIkePXpQWCibn/7++2+mTp2Kh4cHderUYdiwYfzyyy8V+tKMHj2akSNHljm/ZMkS2rdvj0hUklQ7IyODKVOm0KhRI+zs7Bg4cCBBQUHV7KVqZGdn8+jRI0xNTfH19VX5vszMTEJCQujdu7dcqAFwcHCgS5cupKWlyVO+qFq2MnW+Tcxcv59eX67haVpZi8D01bsZMHsDhc+T1V4MjmDGun20GL+IBiPm8tHibWw+egmxpKzp6UU+XraDSUv/LHN+1e5T9PpyDaIXTFeZwjy+XLsXv0lL8Bg6h5HzN/PXdcV5ImuL0NinfLvxEPM+eg9bC9VyeUYmJKOhoYGb48uJPv8itSIs1bfQ4/rjbIL+KZ13Kim7kF23kzDTF6CtpcHl6EyGbH1IwP0UOrmZMbyFLYmZBXx9JIrFpx6X20ZwopDgxLIOYdFp+Vx/nE2x/+qTrEJ6bAhm371kWtUzZkgzG+IyChizI5TfrpSdSGub9FwRXxyKpF8jK9o6K/c7SssVkZknor2CCOSulrLULfcS325hydnamGsRzzh6t/RYeJqZx45LkZgb6qAjkA3hi4+SGPTTKQ7djKFzAwdGtHUjIT2Hr3ZdZ+GhO0rbCH6cyr3HqWXORz3L4lrEMyQvCEuJ6bl0WRTEnmtRtHa3YVhrV+JScxj589/8eia0hnqtmKhn2XRt6ICOQJPYFCHHg+O59zgNOzMDPmzlgpOF8hgqaUJZCpiO3mV9k1xtZJPUXQXv4E3Gzc2NixcvcuDAgVLnExMT+f3337GwsEBHR4ezZ8/SrVs3/P396dmzJxMmTCAuLo5PPvmE2bPL95+4desWt27dKnM+PDycixcvyvO8xcfH06xZM7Zt20aHDh0YN24cMTExvPfee6xevbrmOq0Eb29vzp07x7lz59i5c6fK9wkEAs6fP8+sWaW3nWdmZhIcHEyPHj3Q1tauVNnK1Pk24eJgxdWQKAIvBpc6/zQ1kz+PX8Xc2AAdgRYX7oXTf9bP7P/7Nl1beDG6tx8Jyel8sWYv8zYfKbeNu+Fx3A0vmx8tMiGZqyFR8k0diSkZtJ+ynF2nbtDWx5URPVrxOCmNod//xoaD52qu0+WQX1jE+MVbadPIlcnvlx99/kWiElNwsjZHmF/A8WsP+PP4Va49jK5QkKwJasUMN8DHigUnYjnyIJWxLUsm6MMhqUikMKSZTCo8dD8VLU0NrnzWDBM92aNMbeeA3+o7nAxL57se9ar9LP87GUtcRgFHJvrQzEmWo2ZG5zqM+PMfFp2M5cOm1pjpl30Nabkitl5/WmH9fRpY4Gmjuq30m6NRZOWL+KZ73XLLRabItCm2RmXz0rlaybQIKTlv3xfYi3zQsj5z998i8PZjxncs0agE3IpFIpUyrHVJ+P2DN6LR0tTk+oL3MdWXvbP/69GQd+Yc4q/78fwwsPomy4WH7hCXKuT4zF40f56aZGbfJgxbd4YFB28zuJUL5oZlf680YQGbzz2qsP73mtfB075szqWcAhFJmXlYm+gz8uez/HW/RJPlbmfCmtFtyk2VEpEk+5q1NSmbH9HNViYspWTnV/h8bxLDhw9nxowZ7Nu3j6lTp8rP79mzB4lEwrhx4wDYtWsXAoGAyMhIzMxk737WrFm4uLgQGBjIsmXLqv0sX3/9NTExMVy9epVWrVoBMG/ePHr37s2sWbMYPXo0FhYWCu9NSUmpMKEuwAcffEDDhtVPFvoihoaGtG3bVv7/1atXExsby9GjRxGLxaWESVXLVqbOt4lBXVrw3W8BBFy4y8R+7eTnD56/i0QqZUQP2bjYd/Y2Ai1N7m6Zg6mR7O/1s8FdaTpmAcevPmD+hH7Vfpa5vwfyOCmNUz99zjtesjV29ujeDPr2F37YdJih3XyVmsVSM3PYdORihW30b9cEr3rKN458/9thnqZmceB/n8hz4alCVGIy2bn5+IyaT15BieWqqXsdfp05Es+6tirXVVlqRViyNNSms7sZZ8IzSMkpkieYDQhJwc5Ehw6usklpUht7xreykwtKAIViKaZ6WmTlV387aUaeiIP3U2jqaCQXlAC0tTQY0cKGS9GZBD1MY3iLsiq91JwifjwbV2EbLpZ6KgtLYc9yCXyQyrT2jjialr97KSZNtngpEuSK762Jd/Q6Y2mkR9dGjpwKSSAlO19uajp4MwZ7M4NSudo+7tqACZ285IISQKFYgqm+Dll51dtmD5CeU8j+G9E0q2cpF5QAdASajGznxoWwpxy9+5iRbcvubEwR5rPsSMW+Iq62xgqFpejkbAA2ngnF2dqYxUN88XWx5npkMvMP3mbUhr85P6evUlNc8f1mCqKRO1nKNFKZuW+X4G1tbU3v3r0JCgri2bNn8qSx/v7+ODo6ynOwffHFF0ybNk0uKAEUFhZiZmZGZqZqTqflkZaWxs6dO/H19ZULSgA6OjpMnDiRM2fOcODAASZMmKDw/uTkZH744YcK2/Hw8KhxYenffPvtt+Tm5gLQsGFD9PWVJydXtWxl6nyTsTI1opuvNyev/0NyhlCeXHb/37extzKlcwvZx+DUDzoxuX8HuaAEUCQSY2qkT2ZO9T9o0rNz2Xv2Ns096soFJQAdgRZjerfm/N1wAi8GM7q34hyCKZlCFm87VmE7bo7WSoWl49cesPHwBbZ/Px47Fc1vxUQlpiDMy2fO2Hfp27YxKZlCdp28wZ/HrzJ87iYu/PwVBnplP1hrgjIrcbGUJ5VCJQS+MnzY1JqTYekc/yeNke/YEpch87GZ1t4Rzef1ulnpk54r4tfLidyKExKXkU90aj7ZBWJsjavf4ciUPKRSyCkU8/He0l/2wueCRmy64gHoZqVP5HetFF57EW0t1V/Sz5cS0dbSZHIbhwrL6jyvNyNPVOZaXpFM5Wiqp6Vy24qQ/cbV+JErQENDg+pG8xni58KJ4HiO3o1jTHt34lJl/jXTezVC84Vnd7czIT2ngJ9P/cPNqGTiUoVEPcsmO78IO9PqT8CRSZmysVQgYuKmC6WuZefLBI2Y50LJv3G3NeXxmmEVtqGtpdgqnp5TAEChSMzmSR1wt5NNMI3rWpCcnceqYyEcvBnDxM5eCu8vNlVmPK/nRXILZOPLzKDqf2/FJu/aHkuytqQqtzNmzBgCAwM5ePAgkydPJiYmhmvXrjF79mz59nQvLy9SU1NZsWIFV65cISYmhvDwcLKysnBwqPjvtCLCwsKQSqUIhUKGDBlS6lpWlkzjFxkZqfR+Ly8vuTBRHjo6tbNAvEhOTo7cxPjNN9/QqlUrHj9+jJ1d2UVR1bKVqVMZUqm01sMN1MTYHt69JcevPuDIpWDGvduGx0lp3AyN5Yuh3eRzmUcdW9Kycli3/yzXH8bwOCmNyASZNsXOsvrhYsLjnyGVSsnJL2Dcoq2lrmXnytbC6CfK/Rc96tjw9PDyCtvR1la8Nj1Ny2Lqip2M7u1H37aKNz+Vx4YZw9HVFuBdX/ah7OpoTasGzpgY6rFm7xkOX7rH0K6q++X9m/LWxDIjzMhIJvEWL8hVpbuHOab6Ao48kPlCHA6R/QCDm5VocTZcSqTFilusOhdPkVhCexczVg1ww7eucZXbzcgtES7SnwsaOlqaaGtqlDrMDQQMbGyFh7XihVRDA/S0NSs8tDRV+yNKyCzgUHAKvbzMFWqL/o3Nc2FRkTBX3C/LaubAyxHJMpbXFkZGRuRWcxz18HHEzECHwNsyv6VDt2IBGOpXehfh+pMPaTz7ACuDghGJJXTwsmftmDa0dLWuUrvpOaW1UWnP/68j0ERbq/RhYajLoJbOeDmU1QpB8VjSqvBQNpbszWSayxbOVnJBqZiePk4APHqqPJSEzXPzW0xKWR+3YgHK0rjqOfCEBTJh8UWH3UKqvh4AABWsSURBVJqmeF5SRXAopm/fvpibm7Nv3z4Adu/eDcDYsWPlZZYvX46TkxMLFiygqKiIbt26sWXLllKmosqSllbiq5maKpv/dHV10dbWLnVYWloyYsSIcjVCGhoa6OvrV3hoaVXvw0kRUqlU7ndVjLu7O+PGjWPJkiUUFRXJndRVLVuZOlUlOzu7VucxACNDA3Lzq6eh7tmqIWZGBgRcuAvAgXMyX8rh3Us+ytfsPUODEXNZtuMERWIxnZp5sGHGcPwaOle53fTskr+Z4sCPOtoCtAWapQ4LEwMGd2lRrvlMQ0MDPV3tCg8tJcLr5iOXSM3MISsnnykrdsqPJ6mZPEnNZMqKnaz0P6W0/abudeSC0ov0aNkAgH9iKnadKQ9hbgHGRor9P8us2vb2sgdJzCrAzarqX+Q6Ak36NbJk161npOeKCLifyjt1jHGxlJkKUnOK+N/JWCwNtbn4f80w0i35Y19zvqyT2r/R0NAo80cHEJlasnOqrrmsLWdLPdZ+4F6qnFgiJadQjL4SCfiZsIjV5yp+jqHNbGjsUHGCwu03kxBJpAxrrppN1cVSDw0NeJxeVhvw8KlswL9oWqwKT4Ui2lbiC66y2NnZcSWj7E62yqAj0KL/O/XZcTGc9JwCDt6IwdfFGlfbkoU5VZjPgoN3sDTW5dq8/hjplQiRq45VlHtLQ2E068ik0sJHPSvZu3axMeHncaUXUrFEirCgCH1txULws6w8VgRVnANseBs3mtQt67tS7LwtUhCILa9IpiE10VMuOLvamqChAbEKhKUHCbJdoc3rVz3g65MM2WRcGW1AZSmel+Li4vDyUqxB+ze6uroMGTKETZs2kZqair+/P23atMHDwwOQmbi+/vprrK2tCQ8PL7XgLlq0qML6lc1BYWFh8n+7uMiEend3d7Zv316qnFgsJjs7GwMD5Wb8p0+fsmDBggqfZfz48bRo0aLCcpVhyZIlfPPNNxw9epQ+ffqUulac/DcuLq5SZStTp6okJCTwzjvvVOqeymJvZ0d8cka16tDVFjCwYzO2Hb9CWlYO+/++TasGzrg5yT7oUjKFzP09ECszI27/8R1G+iUfMD/uOllxAxooHI8R8SVx1Orby8KLuDpas3HWqFLlxBIJwtwC9MsxYyWlZ7F8x18VPsrInq1o6l6nzHlLU0N8XB2JTEgudb6gSIRUIuV+ZEIpi8GLJCRncCssluYedXGyMS91LeaJ7KOk2LxZVRJTM7CzVbxGl5ndvb290RYIuJ+YUy1hCWBwU2v+vJHE+osJPHiaw/J+JQ658ZkFSKTQ29uilKCUmFnIg6e5cj8nZTiZ6XI+MgORWIrguckq7Fku0WklmhhnCz0sDbU5F1G6HMhCDCw7E8fBjxrRUoEmKytfxM5bSRX2sXU9E5WEpfORmZjpC1SOvG1rrINfPROuxmYRm5ZPPQuZ4CcSSzkYLPP9amxf9YGRWyghMikbHx+fKtdREY0bN2b5k3TyCkXo61TdPW6onwtbzz9izYkHhMSns3JkaXt6XGoOEqmUd5vWLSUoJaTnEhKfjnU52+rrWhpyLvQJRWKJ3AwW9iRD7udTjLO1MZZGepx9mFiqLMBPJ0JYcvgegV/2oJVbWf+3zNwidlyqOBBgG3dbhcKSnrYW7T3tuBD2lKhn2bjYlIzXY/dkC4tvORo0O1N9WrvZciU8iZjkbOpby+4vEkvYf13m/9WkrvIYTRUR/DgNbYFAZSGmKnh7e6Otrc3t27cr1c6YMWP45ZdfWLp0KXfv3i0VtTo2NhaJRMLAgQNLCUpxcXHcvXsXWyWTZjH169fn5MmTFBUVyXdwPXjwoFTQRzc3N6ytrTlx4kSpcgCLFy9mzpw5XLhwgXbt2pWpH2QhBzZt2lRhPzt27FjjwlLx3HDy5Mkygk3xe2zSpEmlygoEApXrVIWcnBzCwsJqdR4D8GnchHuVCOapjGHdfdl89BKr95zmfmQCaz4riQYfl5SORCrlvbaNSwlKCckZ3I9MwNq8fO1ZPVsLzt4Oo0gkRlsgW1NDY5/KYxMBuDhYY2VqxOmboaXKAaz0P8WirUEcX/F/+DVSHP8vU5jHtmNXKuxn28auCoWlyf07MLl/2d1vHaf+SH5hERd+/kppnenZOYxe8Adj+7Rh9fTBpa4Va+laN3JVdKvKBEcm4tNY8fgrs4Lp6urSprUff0c+YkDj6qUXae4k0yRtvPIEfW1N3mtUMiG7WupjqKPF4ZBUurib42alz43H2Sw78xgjXS1yC8VEpuThqkRga+5kxOlH6Xx2KIIRLWyJTs1n/cUETHS1SHtuitPW0mB2t7rMCIjk0wPhTG3niLGuFidC01h9PoEOrqb41lE8AN2s9In5XrGTW2XJzBMRnCiku6cFyqx2228m8c3RaD7v6MTnnWSmlWkdHBm9PZTJex7xfx2dMNPTYv3FRB6n57N1hHe1fMouRmcilkrp1KlT1SupgI4dOyKWSDgX+pRejZ2qXE8LZytcbU345fQ/6OsI6N+i9C5JN1sTDHUFBNyKoWtDB9ztTLke+Ywlgfcw1tMmp0BERFKWfOfXizR3tuJkSAL/t/UyI9u5E52czdoTDzDW1yZNWKLV0xFo8t37Tfl8+1Wm/HGJaT0aYqyvzbF78awMCqGjtz0tXRXH/nC3MyF+7fAq9x/guwHN6LX0GBN+O8+37zfD0dyAC2FP2XohnFZuNqXe77aL4czadZ0v+zRmxruyReSz3o0Yvu4MEzZd4PNejTA11GXtiQfEpgjZMbVztcbSmYdPaNPaD13dqpvyKkJXV5c2bdpw/Phxhg9X/V36+fnh4eHBypUrMTAwYPDgkknW09MTIyMjdu/eTe/evfHy8uLSpUvMmTMHExMThEIhYWFheHp6Kqy7VatWHD16lLFjxzJx4kQiIiJYunQppqampKTIFigdHR0WL17MhAkTGDlyJLNmzcLExISAgAAWLlxI9+7dyzX5eXl5UVBQVrtcG2zcuJEpU6bw/fff8/3339OnTx98fHxYu3YtZmZm9OzZk4SEBPbu3UtgYCC+vr707dsXQOWympqaKtepCqdPn0YsFtfqPAbQuUsXvp55jEKRGB1B1U2evt71cXOyZv3+v9HX1WFAx6bya+51bDDU1+XAuTt0922Aex0brj2IZuHWIIwN9MjJKyA8/hnuTornmRZe9Thx/SFTftzJmD6tiUpIYfWeU5gY6pGa+dz8JtDih/F9mbbKn0lLt/PZkK4YG+gRdOU+P+78i87NPWlVjsnPo44tz46uqHL/K8OWoMt8uXYfM0f2ZNaInjR0dqCld322HruChYkB77VtgkQqZc/pm5y5FUq/dk1o4Vn+LvPyKCgScf5uOEuXT1Z4XeHn/oAPBvHd1zMRFohLaX2qwqAm1iw7E0cfHyuMX6jLSFeLle+78sWhSMbulMWoMdMXMK9XffR1NPnsYARd1t8j9gfFAsvkNg7cisvmYHCKXNMyqIns63rdhZKt1cOa25BXJGHhX7EEhshUdQJNDYa1sOHrrnWrtUioyqWYLCRSaFGnfE2QWCIt5RDd0dWMNQPdmHE4kon+MtW+iZ6AH3rVLxWosirsv5dCG79WFX49Vwc7Oztat2rFvusx1RKWAD5s5cySw/d4t2kdjP9lcjLS0+an0a2Zvu2KPPWHuaEOCwa9g4GugE+3XqbD/EAS148oU++Ubt7cjEpm/40Y9t+QaVk+bCWbLNaceFCq7Ii2buQVipl38DYBz32nBJoajGjnzjf9mtbqWGpWz5KdU7vwf9suM2zdGfn5Xo2d+Gl0m1JlpdLisVQymjp527N+XFs+336VcRvPA2Cqr8P8QS1KBaqsLML8Io4HJ7BoyfQq16EqAwYMYM6cOZX2URk1ahRz5sxh4MCBpfyqjI2N2bx5M+PHj6dfP9mWbAsLC1atWoWhoSFjxoyhUaNGSoMkfvnll1y5coWdO3eyc+dOHB0dGTVKZtpYsmSJvNxHH31Ebm4uM2fOZM+ePYAsLtGECRNYtGhRrTrGVwapVIpYLEb63CytqanJoUOHGDlyJHPnzmXu3LnysgMHDmTNmjVyTVFlyqpaThX+/PNP2rRpU6vzGED//v2ZPn06Ry8HM6BDs2rVNaSrL4u2BtGvXWOMDUq03kb6uqz/YhhTV+5i6A8yLZu5sQGLPx6AgZ4OHy/fQetJS0gJWqmw3mmDOnPjnxj2nr3F3rO3sLcylTs7r9pd4gc0qpcfuQWF/LApkIPnZRoZgZYmo3u1Zs64d1+j8SgzDRaPRw0NDXbMncC0VbtY6X+qlG/TR33bsmhS9bIQBF25T15BoXwu+DcaUmlZh4309HScHB34or0tn7St/o6Q8kjPFRHyNAcbI208rA3kC056rojMfBH1LcqPTJyaU8TT7EIa2BqWu1gJC8SEPM0ht1CMl40hDqa1v3ukphBJpAQnCpFIoZmjkcpO5cqITs2n8/pgNm/ZojACcU2yfft2xo8by4U5fUuZj2qD9JwC7selYWuqj4edWclYypEFZXS2Vt5+qjCfJxl5NHQ0r1DoEeYXcT8unZyCIrwdzXE0r92cRC9SJJYQmphBqrAAbwczbCu5008kkXIvNhWJVErz+lbVHkvrTz5k+bGHxCckYm5uXvEN1SA9PR0nJyfmzp3LV18pV9dXltTUVO7cuYO9vT0NGjSQLxapqamkp6fj5qY80TXIfJ8SEhJo0qRJuQtNdnY2d+7cQSgU4uPjQ506Zc0UryMSiYTo6GhCQ0PR19fH09MTR0fFqSZULVuZOpURHh5Ow4YN2bx5c63PYwD9+/UjIfw+p1ZPr1WBIi0rh+DIBOwsTPCsaytvKy0rhwxhHi4O5Vt8UjKFPEnJpJGLQ7nPKcwrIDgiHmFeAQ2dHXC0rt4H+Msk7lka4XHPMDUywLOubSmzZVWQSqV0++wnHN19CDh8WFGRvQqFJYC5c+eyYuliLnzqI9+ZpebtYMzORyRqWHHvfkilvuKqglgspkWzpthqZLH9E9Ujtap5/UnOyqf1vCN8/tWsUhqC2mTu3LmsXLmSsLAwudO3mv8mffv2JSYmhrt379b6PAYyf7SmTZuw9rMhDOvestbbU/Py2PnXdaat9ufWrdvKfOb2Kg1OMXPmTCysrFhypuIdYWreHM6Ep3MqLJX1G355KROMlpYWq9es5a/gxy8lh5qal8fCgLuYWVgyc+bMl9bmzJkzMTc359tvv31pbap5/QgKCuLo0aOsW7fupcxjIAuaOWnSZOZtCZLHJFLz5pOdm8/8LUFMnvxxuZsLlApLBgYGrPppLXvuPGPv3WRlxdS8QcRlFPB5QAzDhg6pdYfIF+nUqRPDhg5h+vbrxKW+3fns/ivsvhqF/5VIVv20ptyt7zWNgYEBq1atYsuWLWzdurXiG9S8dcTExDBu3DiGDRv2UucxgPnz5yPV1GbSsh0KQ46oebOQSKVMWrYDqZY28+fPL7dsuWFPBw4cyNdff81Xh6O5HF390P9qXh3CAjHj/CNwrO/Gxt8q3opc02z6fTP13TwZ9vN5Mmsg/YiaV8e1iGfM2Hmd2bNnM3DgwJfefvG8NHHiRM6ePfvS21fz6sjOzqZfv344ODiwcePGl96+paUlR44Gce5uBN9vUujbouYNYs5vAZy9/YiDhwKwtCw/fIpSn6ViJBIJgz8cxJkTQfw+xI1W9WovSq+a2iE9V8T43eHE5Wlz7catV+ZYGhcXRyvfd6hrosm2ye0xV5CrTM3rzdWIZ4z59QJdevRiz959tZ5mQhkSiYTBgwdz9uxZDh06RPv27V/Jc6h5eaSmpvL+++8TGRnJtWvXXqmD/K5duxgxYgSzRvRk1sier80OMjWqIZVKWbr9BEt3nGDHjh0MG1ZhOirlPkvFaGpq8uf2HXTp2Yeh20LVJrk3jIiUPN7b/A9JYiNOnj77SieYOnXqcPL0GZIKtOn14ynCy0nRoeb1Y/fVKAb9dJouPXrx5/Ydr0xQgufz0p9/0rlzZ7p166Y2yb3lhIaG4ufnR3x8PCdPnnzlOwmHDRvGr7/+yordp5i4dDv5hW9XIuq3mfzCIiYu3c4K/1P8+uuvqghKAGjNVWEbi7a2Nh8OHkxefgFzNgUSn1lIcycjDHVqPh+RmppBJJGy9XoS0w5G4+zlw+mzf+PsXPX8QjWFjY0Nw0eM4MixE6w+dBlDHS0a17VUGuJezasnOSufb/bcZPnRYGbOmsUvv/5aKhL1q0JbW5sPP/yQvLw8vvrqK2JjY/Hz85PnkVPz5iMSifj5558ZMWIE9erV4/Tp06/FPAbQokUL2rRpy9I1vxBw4S4N6tmVScOh5vXiakgUoxZu5V7UEwIOBzJo0CBVb32okrAEsoBQXbt2pXHjxmzad5yfz0WjpQHetgbyrOZqXj0SKZyNSGfS3kgCHqQx7bMv+GPLFkxNq5+xuqYwNDRkxMhR5OQVsOSPQwTeiaOOhQH1rY3V6uzXCGF+Eb+dDeOj3y+SXKjDH1u28Omnn75Wv9GL89KGDRtYvnw5AoGAxo0b12pEcTW1i0Qi4dixYwwaNAh/f3+mTZvGH3/88VrNYyDL/ffBoEGcv3yN+b/4E5mQQkNneyxMKk6BpeblEZmQzKwNB/l24yGatPDlUMDhyuYTfFihz5IicnNzWbZsGcuXLUVTKqGnpymd3MzwsTfE3kSn2lG/1ahOgUhCWq6I0Ge5XI7OJCg0i5gUIf369mXFqlUVBtR71URERPDlF59zOPAIzrZmvNvEkXYetng5mGFppIuukkTHamqe7PwiEtNzuR+XxpmHTzgenIAEDb6aOYuZM2e+1F1vVUE+Ly1fjpaWFv3796dXr140b94cJyenWs9Mr6bq5Ofnk5KSQkhICGfPnmX//v1ERkbSr18/VqxY8drPYwCHDx/myy8+JzIqmraN3enj1wBf7/q4OFhjbmKg1p6/JCRSKelZuUQmJnPznxiCrj7kUnA4ri7OrFi5SmmE7grYi7QapKWlSVevXi3t2KGdVKClJQXUxys83F1dpDNmzJA+ePCgOj/rKyEkJET65ZdfSj3cXF75e/yvHwItLWmnDu2lP/30kzQtLe1VD41KUzwvderUSSoQCF75+1QflTs8PDze2HlMJBJJDx8+LB06dIjU3Mz0lb/L//phYW4mHTp0iDQwMFAqEomq89PuqZJmSREFBQU8fPiQpKQksrOzK75BTY2gq6uLubk5DRs2xMKibMb6N5G0tDQePnxIeno6+fnq4G8vC2NjY2xtbWnQoMFbY8JSz0tvBm/jPCaVSomJiSEqKoqMjAwkEsmrfqT/BJqampiZmeHs7Iyzs3NNuQ0oT3eiRo0aNWrUqFGjRoXQAWrUqFGjRo0aNf9l1MKSGjVq1KhRo0ZNOaiFJTVq1KhRo0aNmnL4f8PMo/bqB8+sAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "utils.display_tree(dt_regressor)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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SPwbOj4gHJXUDt0j6l4j4ygJrNZvm1mB1zMwmWXAhHWjOFrwSfyzpAPAN4H8kjUp6R5YVR+LB9GF3+s+NLlsy7oI3a65ZF83lwDrgFyLixIj4KeAXgXWS3pRl5ZIaku4A7gdujohbZ3nNZklDkoZGR0cX8L9gnchzi1eHpwsuTrOA/w1gUzo9MAARcQ/wqvS5liJiMiKeCZwCnCPpzFlesy0iBiJioK+vb37VW0cLfyGsBJ9kLU6zgO+OiAOPXhgRo8zzjk4RMQZ8EXjRvKozm4OzojpmhrP6U2u3ZgF/aIHPASCpT1Jv+nMPcAFJX77ZknAffLW4Bd9+zUbRnDXHlAQCHpNh3ScDH5PUIPlD8qmIuLHFe8yy8U23zVqaM+AjorGYFUfEnSQ3CjGzDuaTrMXJdMMPs7KRm/CVMTMO3hHfbg54M2sLx3v7OeCtkiQPk6wKnwwvjgPezHLl6YKL44C3ShJuGVbFzCh4J3y7OeDNrC3cgm8/B7xVkjyIpjJ8Y5biOODNLFeO9+I44K2ShNwyrAqfZC2MA97M2sIXOrWfA94qyX3w1eHrFYrjgDezXHkumuI44K2SPA6+OnzDj+I44M2sLXyhU/s54K2a3BysDH/TKo4D3sxyNTNdcMGFdCAHvFXSVFZ4LHz5+SRrcRzwZtYeTvi2c8BbJU193XcDvvz8ERXHAW9m+Ur/CnsUTfs54K2SpsLCrcPq8EnW9nPAm1muZm74Ye3mgLdKmumDdxu+7PwRFccBb2a5mvoj7Nkk229ZXiuWdCrwceCJwBFgW0Rcldf2rLNMj4MvtIqltWN4hK0797JvbJxVvT0Mru9nw9rVRZe1ZBzv7ZdbwAOHgT+MiNslPRbYJenmiLgrx22aVdKO4RG2bN/N+MQkACNj42zZvhug8iHvycaKk1sXTUTsj4jb058fAPYA1T5SrTTqNg5+68690+E+ZXxikq079xZU0dKpy2dURW3pg5e0BlgL3DrLc5slDUkaGh0dbUc5ZqWzb2x8XsurZGYUjZvw7ZZ7wEs6AbgeuDwiDj76+YjYFhEDETHQ19eXdzlWE1Mn7Opyt6BVvT3zWl5Jzve2yzXgJXWThPsnImJ7ntsyq7LB9f30dDeOWdbT3WBwfX9BFS2dmVE0BRfSgfIcRSPgamBPRPxZXtuxzlaX/t2pE6l1HkVj7ZfnKJp1wKuB3ZLuSJf9UUT8c47btA5Rx9bghrWraxnoni64OLkFfETcgj9TM0v5Qqf285WsVkkekVEd03d0KriOTuSAt0qrSx98nU130Tjh284Bb5XksKgO/w0ujgPeKq0u4+A7gbvV2s8Bb5XkqKgOd9EUxwFvleY++PLzt6ziOOCtkqYnGyu2DMvAf4SL44A3s7ZwF037OeCtkqZvuu3mYWX4JGv7OeDNLFeebKw4DnirJPfBV4e/ZBXHAW9mbeEGfPs54K3S3Dosv5l7sjri280Bb2a58nTBxclzPniz3Ey1Bu+8b4wVx/kwLrP9P6r+fWWryr8ZVkkrlie3t3v11bcVXIll0dPd8CiaAjjgrZIuOXs1pz7heCYmjxRdimWwurfHffAFcMBbJR23rMG6n11ZdBlmpeaTrGZmNeWANzOrKQe8mVlNOeDNzGrKAW9mVlO5jaKR9BHgYuD+iDgzr+2YLdSO4RG27tzLvrFxVvX2MLi+nw1rVxddVml4/1Rfni34vwdelOP6zRZsx/AIW7bvZmRsnABGxsbZsn03O4ZHii6tFLx/6iG3gI+Ifwd+mNf6zRZj6869jE9MHrNsfGKSrTv3FlRRuXj/1EPhffCSNksakjQ0OjpadDnWIfaNzT4/ylzLO433Tz0UHvARsS0iBiJioK+vr+hyrEOs6u2Z1/JO4/1TD4UHvFkRBtf309PdOGZZT3eDwfX9BVVULt4/9eC5aKwjTY0G8SiR2Xn/1IPyuiu9pGuA84CVwPeBd0bE1c3eMzAwEENDQ7nUY2ZWR5J2RcTAbM/l1oKPiE15rdvMzFpzH7yZWU054M3MasoBb2ZWUw54M7OacsCbmdVUbsMkF0LSKPDtBb59JXBgCcupE++b5rx/mvP+mVsZ9s2TImLWaQBKFfCLIWlorrGgnc77pjnvn+a8f+ZW9n3jLhozs5pywJuZ1VSdAn5b0QWUmPdNc94/zXn/zK3U+6Y2ffBmZnasOrXgzczsKA54M7OaqnzAS3qRpL2S7pZ0RdH1FE3SqZK+IGmPpK9LemO6/AmSbpb0zfS/P1V0rUWR1JA0LOnG9PHpkm5N980nJS0vusaiSOqVdJ2kb6TH0Lk+dmZIelP6e/U1SddIekyZj59KB7ykBvBXwIXA04FNkp5ebFWFOwz8YUQ8DXg28Pp0n1wBfC4ingx8Ln3cqd4I7Dnq8fuBP0/3zf8Bv1VIVeVwFXBTRDwVOItkP/nYASStBn4fGIiIM4EGcCklPn4qHfDAOcDdEXFPRBwCrgVeUnBNhYqI/RFxe/rzAyS/oKtJ9svH0pd9DNhQTIXFknQKcBHw4fSxgPOB69KXdPK+eRzwXOBqgIg4FBFj+Ng52jKgR9Iy4HhgPyU+fqoe8KuB7x71+L50mQGS1gBrgVuBkyJiPyR/BICfLq6yQl0JvAU4kj4+ERiLiMPp404+hs4ARoGPpl1YH5a0Ah87AETECPBB4Dskwf4jYBclPn6qHvCaZZnHfQKSTgCuBy6PiINF11MGki4G7o+IXUcvnuWlnXoMLQPOBv4mItYCD9Gh3TGzSc89vAQ4HVgFrCDpHn600hw/VQ/4+4BTj3p8CrCvoFpKQ1I3Sbh/IiK2p4u/L+nk9PmTgfuLqq9A64AXS/oWSXfe+SQt+t70Kzd09jF0H3BfRNyaPr6OJPB97CQuAO6NiNGImAC2A79EiY+fqgf8V4Enp2exl5Oc8PhMwTUVKu1TvhrYExF/dtRTnwFek/78GuCf2l1b0SJiS0ScEhFrSI6Vz0fEK4EvABvTl3XkvgGIiO8B35XUny56AXAXPnamfAd4tqTj09+zqf1T2uOn8leySvpVklZYA/hIRLyn4JIKJemXgS8Du5npZ/4jkn74TwGnkRyoL4+IHxZSZAlIOg94c0RcLOkMkhb9E4Bh4FUR8eMi6yuKpGeSnIBeDtwDXEbSEPSxA0j6E+AVJKPVhoHXkfS5l/L4qXzAm5nZ7KreRWNmZnNwwJuZ1ZQD3sysphzwZmY15YA3M6spB7wZIOkSSSHpqUXXYrZUHPBmiU3ALSQXQJnVggPeOl46b886kmleL02XdUn663Tu7xsl/bOkjelzz5L0JUm7JO2cuozfrGwc8GbJ9K43RcT/AD+UdDbwUmAN8PMkVyueC9Pz/PwFsDEingV8BOjoq6etvJa1folZ7W0ime4CkkvONwHdwKcj4gjwPUlfSJ/vB84Ebk6mI6FBMnWsWek44K2jSTqRZFbJMyUFSWAHcMNcbwG+HhHntqlEswVzF411uo3AxyPiSRGxJiJOBe4FDgAvS/viTwLOS1+/F+iTNN1lI+nniijcrBUHvHW6Tfxka/16khs63Ad8Dfhbktk4f5TeGnIj8H5J/w3cQTInuFnpeDZJszlIOiEiHky7cW4D1qVzpptVgvvgzeZ2o6RekrnR3+Vwt6pxC97MrKbcB29mVlMOeDOzmnLAm5nVlAPezKymHPBmZjX1/6glsP6ahdIFAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "utils.plot_regressor(dt_regressor, features, labels)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Finding the first split by mimizing the MSE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "*****\n",
      "[] [7 5 7 1 2 1 5 4]\n",
      "nan 4.0\n",
      "5.25\n",
      "*****\n",
      "[7] [5 7 1 2 1 5 4]\n",
      "7.0 3.5714285714285716\n",
      "3.9642857142857144\n",
      "*****\n",
      "[7 5] [7 1 2 1 5 4]\n",
      "6.0 3.3333333333333335\n",
      "3.916666666666667\n",
      "*****\n",
      "[7 5 7] [1 2 1 5 4]\n",
      "6.333333333333333 2.6\n",
      "1.9833333333333334\n",
      "*****\n",
      "[7 5 7 1] [2 1 5 4]\n",
      "5.0 3.0\n",
      "4.25\n",
      "*****\n",
      "[7 5 7 1 2] [1 5 4]\n",
      "4.4 3.3333333333333335\n",
      "4.983333333333333\n",
      "*****\n",
      "[7 5 7 1 2 1] [5 4]\n",
      "3.8333333333333335 4.5\n",
      "5.166666666666667\n",
      "*****\n",
      "[7 5 7 1 2 1 5] [4]\n",
      "4.0 4.0\n",
      "5.25\n",
      "*****\n",
      "[7 5 7 1 2 1 5 4] []\n",
      "4.0 nan\n",
      "5.25\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/luisserrano/anaconda3/lib/python3.7/site-packages/numpy/core/fromnumeric.py:3335: RuntimeWarning: Mean of empty slice.\n",
      "  out=out, **kwargs)\n",
      "/Users/luisserrano/anaconda3/lib/python3.7/site-packages/numpy/core/_methods.py:161: RuntimeWarning: invalid value encountered in double_scalars\n",
      "  ret = ret.dtype.type(ret / rcount)\n"
     ]
    }
   ],
   "source": [
    "for i in range(0,9):\n",
    "    left = np.array(labels[:i])\n",
    "    right = np.array(labels[i:])\n",
    "    print(\"*****\")\n",
    "    print(left, right)\n",
    "    print(np.mean(left), np.mean(right))\n",
    "    left_tse = left-np.mean(left)\n",
    "    right_tse = right-np.mean(right)\n",
    "    print(1/8*(np.dot(left_tse, left_tse) + np.dot(right_tse, right_tse)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5.16666675"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "1/8*(\n",
    "    (7-3.833)**2 +\n",
    "    (5-3.833)**2 +\n",
    "    (7-3.833)**2 +\n",
    "    (1-3.833)**2 +\n",
    "    (2-3.833)**2 +\n",
    "    (1-3.833)**2 +\n",
    "    (5-4.5)**2 +\n",
    "    (4-4.5)**2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4.0"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.array([7,5,7,1,2,1,5,4]).mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
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